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Finding the Fourth Proportional to 500.76, 691.34 and 335.52

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Solution

The fourth proportional to 500.76, 691.34 and 335.52 is: 463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.76 : 691.34 = 335.52 : x
  2. Step 2: Convert to fraction form
    500.76/691.34 = 335.52/x
  3. Step 3: Cross multiply
    500.76x = 691.34 × 335.52
  4. Step 4: Simplify right side
    500.76x = 231,956.72
  5. Step 5: Solve for x
    x = 231,956.72/500.76
  6. Step 6: Final answer
    x = 463.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.