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Finding the Fourth Proportional to 500.59, 750.81 and 240.76

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Solution

The fourth proportional to 500.59, 750.81 and 240.76 is: 361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.59 : 750.81 = 240.76 : x
  2. Step 2: Convert to fraction form
    500.59/750.81 = 240.76/x
  3. Step 3: Cross multiply
    500.59x = 750.81 × 240.76
  4. Step 4: Simplify right side
    500.59x = 180,765.02
  5. Step 5: Solve for x
    x = 180,765.02/500.59
  6. Step 6: Final answer
    x = 361.10

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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.