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Finding the Fourth Proportional to 572.50, 789.32 and 424.88

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Solution

The fourth proportional to 572.50, 789.32 and 424.88 is: 585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.50 : 789.32 = 424.88 : x
  2. Step 2: Convert to fraction form
    572.50/789.32 = 424.88/x
  3. Step 3: Cross multiply
    572.50x = 789.32 × 424.88
  4. Step 4: Simplify right side
    572.50x = 335,366.28
  5. Step 5: Solve for x
    x = 335,366.28/572.50
  6. Step 6: Final answer
    x = 585.79

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Why These Related Problems?

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