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Finding the Fourth Proportional to 473.76, 711.05 and 337.14

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Solution

The fourth proportional to 473.76, 711.05 and 337.14 is: 506.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.76 : 711.05 = 337.14 : x
  2. Step 2: Convert to fraction form
    473.76/711.05 = 337.14/x
  3. Step 3: Cross multiply
    473.76x = 711.05 × 337.14
  4. Step 4: Simplify right side
    473.76x = 239,721.71
  5. Step 5: Solve for x
    x = 239,721.71/473.76
  6. Step 6: Final answer
    x = 506.00

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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.