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Finding the Fourth Proportional to 537.47, 802.04 and 475.97

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Solution

The fourth proportional to 537.47, 802.04 and 475.97 is: 710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.47 : 802.04 = 475.97 : x
  2. Step 2: Convert to fraction form
    537.47/802.04 = 475.97/x
  3. Step 3: Cross multiply
    537.47x = 802.04 × 475.97
  4. Step 4: Simplify right side
    537.47x = 381,740.59
  5. Step 5: Solve for x
    x = 381,740.59/537.47
  6. Step 6: Final answer
    x = 710.26

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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.