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Finding the Fourth Proportional to 932.56, 1,399.04 and 316.70

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Solution

The fourth proportional to 932.56, 1,399.04 and 316.70 is: 475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.56 : 1,399.04 = 316.70 : x
  2. Step 2: Convert to fraction form
    932.56/1,399.04 = 316.70/x
  3. Step 3: Cross multiply
    932.56x = 1,399.04 × 316.70
  4. Step 4: Simplify right side
    932.56x = 443,074.38
  5. Step 5: Solve for x
    x = 443,074.38/932.56
  6. Step 6: Final answer
    x = 475.12

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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.