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Finding the Fourth Proportional to 657.52, 907.49 and 391.98

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Solution

The fourth proportional to 657.52, 907.49 and 391.98 is: 540.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.52 : 907.49 = 391.98 : x
  2. Step 2: Convert to fraction form
    657.52/907.49 = 391.98/x
  3. Step 3: Cross multiply
    657.52x = 907.49 × 391.98
  4. Step 4: Simplify right side
    657.52x = 355,711.43
  5. Step 5: Solve for x
    x = 355,711.43/657.52
  6. Step 6: Final answer
    x = 540.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.