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Finding the Fourth Proportional to 656.22, 905.42 and 372.62

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Solution

The fourth proportional to 656.22, 905.42 and 372.62 is: 514.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.22 : 905.42 = 372.62 : x
  2. Step 2: Convert to fraction form
    656.22/905.42 = 372.62/x
  3. Step 3: Cross multiply
    656.22x = 905.42 × 372.62
  4. Step 4: Simplify right side
    656.22x = 337,375.34
  5. Step 5: Solve for x
    x = 337,375.34/656.22
  6. Step 6: Final answer
    x = 514.12

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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.