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Finding the Fourth Proportional to 932.07, 1,398.30 and 282.85

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Solution

The fourth proportional to 932.07, 1,398.30 and 282.85 is: 424.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.07 : 1,398.30 = 282.85 : x
  2. Step 2: Convert to fraction form
    932.07/1,398.30 = 282.85/x
  3. Step 3: Cross multiply
    932.07x = 1,398.30 × 282.85
  4. Step 4: Simplify right side
    932.07x = 395,511.96
  5. Step 5: Solve for x
    x = 395,511.96/932.07
  6. Step 6: Final answer
    x = 424.34

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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.