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Finding the Fourth Proportional to 572, 789.24 and 431.92

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Solution

The fourth proportional to 572, 789.24 and 431.92 is: 595.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    572 : 789.24 = 431.92 : x
  2. Step 2: Convert to fraction form
    572/789.24 = 431.92/x
  3. Step 3: Cross multiply
    572x = 789.24 × 431.92
  4. Step 4: Simplify right side
    572x = 340,888.54
  5. Step 5: Solve for x
    x = 340,888.54/572
  6. Step 6: Final answer
    x = 595.96

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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.