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Finding the Fourth Proportional to 432.70, 649.01 and 172.63

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Solution

The fourth proportional to 432.70, 649.01 and 172.63 is: 258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.70 : 649.01 = 172.63 : x
  2. Step 2: Convert to fraction form
    432.70/649.01 = 172.63/x
  3. Step 3: Cross multiply
    432.70x = 649.01 × 172.63
  4. Step 4: Simplify right side
    432.70x = 112,039.19
  5. Step 5: Solve for x
    x = 112,039.19/432.70
  6. Step 6: Final answer
    x = 258.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.