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Finding the Fourth Proportional to 498.29, 687.22 and 432.68

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Solution

The fourth proportional to 498.29, 687.22 and 432.68 is: 596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.29 : 687.22 = 432.68 : x
  2. Step 2: Convert to fraction form
    498.29/687.22 = 432.68/x
  3. Step 3: Cross multiply
    498.29x = 687.22 × 432.68
  4. Step 4: Simplify right side
    498.29x = 297,341.83
  5. Step 5: Solve for x
    x = 297,341.83/498.29
  6. Step 6: Final answer
    x = 596.73

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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.