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Finding the Fourth Proportional to 410.39, 614.17 and 336.41

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Solution

The fourth proportional to 410.39, 614.17 and 336.41 is: 503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.39 : 614.17 = 336.41 : x
  2. Step 2: Convert to fraction form
    410.39/614.17 = 336.41/x
  3. Step 3: Cross multiply
    410.39x = 614.17 × 336.41
  4. Step 4: Simplify right side
    410.39x = 206,613.62
  5. Step 5: Solve for x
    x = 206,613.62/410.39
  6. Step 6: Final answer
    x = 503.45

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