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Finding the Fourth Proportional to 657.92, 907.90 and 395.92

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Solution

The fourth proportional to 657.92, 907.90 and 395.92 is: 546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.92 : 907.90 = 395.92 : x
  2. Step 2: Convert to fraction form
    657.92/907.90 = 395.92/x
  3. Step 3: Cross multiply
    657.92x = 907.90 × 395.92
  4. Step 4: Simplify right side
    657.92x = 359,455.77
  5. Step 5: Solve for x
    x = 359,455.77/657.92
  6. Step 6: Final answer
    x = 546.35

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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.