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Finding the Fourth Proportional to 596.84, 823.64 and 348.14

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Solution

The fourth proportional to 596.84, 823.64 and 348.14 is: 480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.84 : 823.64 = 348.14 : x
  2. Step 2: Convert to fraction form
    596.84/823.64 = 348.14/x
  3. Step 3: Cross multiply
    596.84x = 823.64 × 348.14
  4. Step 4: Simplify right side
    596.84x = 286,742.03
  5. Step 5: Solve for x
    x = 286,742.03/596.84
  6. Step 6: Final answer
    x = 480.43

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.