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Finding the Fourth Proportional to 596.74, 823.53 and 348.14

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Solution

The fourth proportional to 596.74, 823.53 and 348.14 is: 480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.74 : 823.53 = 348.14 : x
  2. Step 2: Convert to fraction form
    596.74/823.53 = 348.14/x
  3. Step 3: Cross multiply
    596.74x = 823.53 × 348.14
  4. Step 4: Simplify right side
    596.74x = 286,703.73
  5. Step 5: Solve for x
    x = 286,703.73/596.74
  6. Step 6: Final answer
    x = 480.45

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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.