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Finding the Fourth Proportional to 337.40, 503.11 and 296.43

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Solution

The fourth proportional to 337.40, 503.11 and 296.43 is: 442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.40 : 503.11 = 296.43 : x
  2. Step 2: Convert to fraction form
    337.40/503.11 = 296.43/x
  3. Step 3: Cross multiply
    337.40x = 503.11 × 296.43
  4. Step 4: Simplify right side
    337.40x = 149,136.16
  5. Step 5: Solve for x
    x = 149,136.16/337.40
  6. Step 6: Final answer
    x = 442.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.