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Finding the Fourth Proportional to 637.60, 955.92 and 313.24

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Solution

The fourth proportional to 637.60, 955.92 and 313.24 is: 469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.60 : 955.92 = 313.24 : x
  2. Step 2: Convert to fraction form
    637.60/955.92 = 313.24/x
  3. Step 3: Cross multiply
    637.60x = 955.92 × 313.24
  4. Step 4: Simplify right side
    637.60x = 299,432.38
  5. Step 5: Solve for x
    x = 299,432.38/637.60
  6. Step 6: Final answer
    x = 469.62

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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.