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Finding the Fourth Proportional to 935.91, 1,403.85 and 242.52

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Solution

The fourth proportional to 935.91, 1,403.85 and 242.52 is: 363.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.91 : 1,403.85 = 242.52 : x
  2. Step 2: Convert to fraction form
    935.91/1,403.85 = 242.52/x
  3. Step 3: Cross multiply
    935.91x = 1,403.85 × 242.52
  4. Step 4: Simplify right side
    935.91x = 340,461.70
  5. Step 5: Solve for x
    x = 340,461.70/935.91
  6. Step 6: Final answer
    x = 363.78

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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.