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Finding the Fourth Proportional to 437.46, 656.10 and 173.88

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Solution

The fourth proportional to 437.46, 656.10 and 173.88 is: 260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.46 : 656.10 = 173.88 : x
  2. Step 2: Convert to fraction form
    437.46/656.10 = 173.88/x
  3. Step 3: Cross multiply
    437.46x = 656.10 × 173.88
  4. Step 4: Simplify right side
    437.46x = 114,082.67
  5. Step 5: Solve for x
    x = 114,082.67/437.46
  6. Step 6: Final answer
    x = 260.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.