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Finding the Fourth Proportional to 932.23, 1,398.55 and 282.95

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Solution

The fourth proportional to 932.23, 1,398.55 and 282.95 is: 424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.23 : 1,398.55 = 282.95 : x
  2. Step 2: Convert to fraction form
    932.23/1,398.55 = 282.95/x
  3. Step 3: Cross multiply
    932.23x = 1,398.55 × 282.95
  4. Step 4: Simplify right side
    932.23x = 395,719.72
  5. Step 5: Solve for x
    x = 395,719.72/932.23
  6. Step 6: Final answer
    x = 424.49

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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.