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Finding the Fourth Proportional to 576.87, 869.60 and 539.25

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Solution

The fourth proportional to 576.87, 869.60 and 539.25 is: 812.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.87 : 869.60 = 539.25 : x
  2. Step 2: Convert to fraction form
    576.87/869.60 = 539.25/x
  3. Step 3: Cross multiply
    576.87x = 869.60 × 539.25
  4. Step 4: Simplify right side
    576.87x = 468,931.80
  5. Step 5: Solve for x
    x = 468,931.80/576.87
  6. Step 6: Final answer
    x = 812.89

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.