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Finding the Fourth Proportional to 932.41, 1,398.57 and 412.27

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Solution

The fourth proportional to 932.41, 1,398.57 and 412.27 is: 618.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.41 : 1,398.57 = 412.27 : x
  2. Step 2: Convert to fraction form
    932.41/1,398.57 = 412.27/x
  3. Step 3: Cross multiply
    932.41x = 1,398.57 × 412.27
  4. Step 4: Simplify right side
    932.41x = 576,588.45
  5. Step 5: Solve for x
    x = 576,588.45/932.41
  6. Step 6: Final answer
    x = 618.39

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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.