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Finding the Fourth Proportional to 595.60, 892.32 and 432.88

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Solution

The fourth proportional to 595.60, 892.32 and 432.88 is: 648.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.60 : 892.32 = 432.88 : x
  2. Step 2: Convert to fraction form
    595.60/892.32 = 432.88/x
  3. Step 3: Cross multiply
    595.60x = 892.32 × 432.88
  4. Step 4: Simplify right side
    595.60x = 386,267.48
  5. Step 5: Solve for x
    x = 386,267.48/595.60
  6. Step 6: Final answer
    x = 648.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.