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Finding the Fourth Proportional to 432.38, 647.49 and 258.86

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Solution

The fourth proportional to 432.38, 647.49 and 258.86 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.38 : 647.49 = 258.86 : x
  2. Step 2: Convert to fraction form
    432.38/647.49 = 258.86/x
  3. Step 3: Cross multiply
    432.38x = 647.49 × 258.86
  4. Step 4: Simplify right side
    432.38x = 167,609.26
  5. Step 5: Solve for x
    x = 167,609.26/432.38
  6. Step 6: Final answer
    x = 387.64

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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.