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Finding the Fourth Proportional to 657.71, 907.64 and 395.73

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Solution

The fourth proportional to 657.71, 907.64 and 395.73 is: 546.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.71 : 907.64 = 395.73 : x
  2. Step 2: Convert to fraction form
    657.71/907.64 = 395.73/x
  3. Step 3: Cross multiply
    657.71x = 907.64 × 395.73
  4. Step 4: Simplify right side
    657.71x = 359,180.38
  5. Step 5: Solve for x
    x = 359,180.38/657.71
  6. Step 6: Final answer
    x = 546.11

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Why These Related Problems?

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