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Finding the Fourth Proportional to 656.96, 905.58 and 532.16

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Solution

The fourth proportional to 656.96, 905.58 and 532.16 is: 733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.96 : 905.58 = 532.16 : x
  2. Step 2: Convert to fraction form
    656.96/905.58 = 532.16/x
  3. Step 3: Cross multiply
    656.96x = 905.58 × 532.16
  4. Step 4: Simplify right side
    656.96x = 481,913.45
  5. Step 5: Solve for x
    x = 481,913.45/656.96
  6. Step 6: Final answer
    x = 733.55

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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.