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Finding the Fourth Proportional to 337.52, 506 and 294.08

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Solution

The fourth proportional to 337.52, 506 and 294.08 is: 440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.52 : 506 = 294.08 : x
  2. Step 2: Convert to fraction form
    337.52/506 = 294.08/x
  3. Step 3: Cross multiply
    337.52x = 506 × 294.08
  4. Step 4: Simplify right side
    337.52x = 148,804.48
  5. Step 5: Solve for x
    x = 148,804.48/337.52
  6. Step 6: Final answer
    x = 440.88

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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.