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Finding the Fourth Proportional to 932.23, 1,398.35 and 315.94

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Solution

The fourth proportional to 932.23, 1,398.35 and 315.94 is: 473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.23 : 1,398.35 = 315.94 : x
  2. Step 2: Convert to fraction form
    932.23/1,398.35 = 315.94/x
  3. Step 3: Cross multiply
    932.23x = 1,398.35 × 315.94
  4. Step 4: Simplify right side
    932.23x = 441,794.70
  5. Step 5: Solve for x
    x = 441,794.70/932.23
  6. Step 6: Final answer
    x = 473.91

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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.