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Finding the Fourth Proportional to 637.70, 880 and 372.14

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Solution

The fourth proportional to 637.70, 880 and 372.14 is: 513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.70 : 880 = 372.14 : x
  2. Step 2: Convert to fraction form
    637.70/880 = 372.14/x
  3. Step 3: Cross multiply
    637.70x = 880 × 372.14
  4. Step 4: Simplify right side
    637.70x = 327,483.20
  5. Step 5: Solve for x
    x = 327,483.20/637.70
  6. Step 6: Final answer
    x = 513.54

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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.