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Finding the Fourth Proportional to 932.70, 1,398.33 and 316.02

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Solution

The fourth proportional to 932.70, 1,398.33 and 316.02 is: 473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.70 : 1,398.33 = 316.02 : x
  2. Step 2: Convert to fraction form
    932.70/1,398.33 = 316.02/x
  3. Step 3: Cross multiply
    932.70x = 1,398.33 × 316.02
  4. Step 4: Simplify right side
    932.70x = 441,900.25
  5. Step 5: Solve for x
    x = 441,900.25/932.70
  6. Step 6: Final answer
    x = 473.79

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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.