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Finding the Fourth Proportional to 932.70, 1,399.66 and 355.58

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Solution

The fourth proportional to 932.70, 1,399.66 and 355.58 is: 533.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.70 : 1,399.66 = 355.58 : x
  2. Step 2: Convert to fraction form
    932.70/1,399.66 = 355.58/x
  3. Step 3: Cross multiply
    932.70x = 1,399.66 × 355.58
  4. Step 4: Simplify right side
    932.70x = 497,691.10
  5. Step 5: Solve for x
    x = 497,691.10/932.70
  6. Step 6: Final answer
    x = 533.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.