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Finding the Fourth Proportional to 794.32, 1,191.48 and 332.42

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Solution

The fourth proportional to 794.32, 1,191.48 and 332.42 is: 498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.32 : 1,191.48 = 332.42 : x
  2. Step 2: Convert to fraction form
    794.32/1,191.48 = 332.42/x
  3. Step 3: Cross multiply
    794.32x = 1,191.48 × 332.42
  4. Step 4: Simplify right side
    794.32x = 396,071.78
  5. Step 5: Solve for x
    x = 396,071.78/794.32
  6. Step 6: Final answer
    x = 498.63

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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.