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Finding the Fourth Proportional to 656.78, 905.90 and 532.44

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Solution

The fourth proportional to 656.78, 905.90 and 532.44 is: 734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.78 : 905.90 = 532.44 : x
  2. Step 2: Convert to fraction form
    656.78/905.90 = 532.44/x
  3. Step 3: Cross multiply
    656.78x = 905.90 × 532.44
  4. Step 4: Simplify right side
    656.78x = 482,334.73
  5. Step 5: Solve for x
    x = 482,334.73/656.78
  6. Step 6: Final answer
    x = 734.40

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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.