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Finding the Fourth Proportional to 537.73, 801.92 and 473.03

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Solution

The fourth proportional to 537.73, 801.92 and 473.03 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.73 : 801.92 = 473.03 : x
  2. Step 2: Convert to fraction form
    537.73/801.92 = 473.03/x
  3. Step 3: Cross multiply
    537.73x = 801.92 × 473.03
  4. Step 4: Simplify right side
    537.73x = 379,332.22
  5. Step 5: Solve for x
    x = 379,332.22/537.73
  6. Step 6: Final answer
    x = 705.43

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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.