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Finding the Fourth Proportional to 432.74, 649.06 and 172.77

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Solution

The fourth proportional to 432.74, 649.06 and 172.77 is: 259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.74 : 649.06 = 172.77 : x
  2. Step 2: Convert to fraction form
    432.74/649.06 = 172.77/x
  3. Step 3: Cross multiply
    432.74x = 649.06 × 172.77
  4. Step 4: Simplify right side
    432.74x = 112,137.23
  5. Step 5: Solve for x
    x = 112,137.23/432.74
  6. Step 6: Final answer
    x = 259.14

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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.