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Finding the Fourth Proportional to 657.52, 907.06 and 395.44

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Solution

The fourth proportional to 657.52, 907.06 and 395.44 is: 545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.52 : 907.06 = 395.44 : x
  2. Step 2: Convert to fraction form
    657.52/907.06 = 395.44/x
  3. Step 3: Cross multiply
    657.52x = 907.06 × 395.44
  4. Step 4: Simplify right side
    657.52x = 358,687.81
  5. Step 5: Solve for x
    x = 358,687.81/657.52
  6. Step 6: Final answer
    x = 545.52

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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.