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Finding the Fourth Proportional to 932.74, 1,398.99 and 316.42

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Solution

The fourth proportional to 932.74, 1,398.99 and 316.42 is: 474.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.74 : 1,398.99 = 316.42 : x
  2. Step 2: Convert to fraction form
    932.74/1,398.99 = 316.42/x
  3. Step 3: Cross multiply
    932.74x = 1,398.99 × 316.42
  4. Step 4: Simplify right side
    932.74x = 442,668.42
  5. Step 5: Solve for x
    x = 442,668.42/932.74
  6. Step 6: Final answer
    x = 474.59

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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.