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Finding the Fourth Proportional to 932.14, 1,398.60 and 355.42

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Solution

The fourth proportional to 932.14, 1,398.60 and 355.42 is: 533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.14 : 1,398.60 = 355.42 : x
  2. Step 2: Convert to fraction form
    932.14/1,398.60 = 355.42/x
  3. Step 3: Cross multiply
    932.14x = 1,398.60 × 355.42
  4. Step 4: Simplify right side
    932.14x = 497,090.41
  5. Step 5: Solve for x
    x = 497,090.41/932.14
  6. Step 6: Final answer
    x = 533.28

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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.