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Finding the Fourth Proportional to 432.06, 647.67 and 249.15

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Solution

The fourth proportional to 432.06, 647.67 and 249.15 is: 373.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.06 : 647.67 = 249.15 : x
  2. Step 2: Convert to fraction form
    432.06/647.67 = 249.15/x
  3. Step 3: Cross multiply
    432.06x = 647.67 × 249.15
  4. Step 4: Simplify right side
    432.06x = 161,366.98
  5. Step 5: Solve for x
    x = 161,366.98/432.06
  6. Step 6: Final answer
    x = 373.48

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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.