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Finding the Fourth Proportional to 432.66, 649.06 and 172.66

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Solution

The fourth proportional to 432.66, 649.06 and 172.66 is: 259.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.66 : 649.06 = 172.66 : x
  2. Step 2: Convert to fraction form
    432.66/649.06 = 172.66/x
  3. Step 3: Cross multiply
    432.66x = 649.06 × 172.66
  4. Step 4: Simplify right side
    432.66x = 112,066.70
  5. Step 5: Solve for x
    x = 112,066.70/432.66
  6. Step 6: Final answer
    x = 259.02

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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.