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Finding the Fourth Proportional to 456.92, 683.84 and 337.55

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Solution

The fourth proportional to 456.92, 683.84 and 337.55 is: 505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.92 : 683.84 = 337.55 : x
  2. Step 2: Convert to fraction form
    456.92/683.84 = 337.55/x
  3. Step 3: Cross multiply
    456.92x = 683.84 × 337.55
  4. Step 4: Simplify right side
    456.92x = 230,827.62
  5. Step 5: Solve for x
    x = 230,827.62/456.92
  6. Step 6: Final answer
    x = 505.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.