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Finding the Fourth Proportional to 596.84, 823.82 and 348.21

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Solution

The fourth proportional to 596.84, 823.82 and 348.21 is: 480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.84 : 823.82 = 348.21 : x
  2. Step 2: Convert to fraction form
    596.84/823.82 = 348.21/x
  3. Step 3: Cross multiply
    596.84x = 823.82 × 348.21
  4. Step 4: Simplify right side
    596.84x = 286,860.62
  5. Step 5: Solve for x
    x = 286,860.62/596.84
  6. Step 6: Final answer
    x = 480.64

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Double scale
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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.