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Finding the Fourth Proportional to 432.90, 649.08 and 189.54

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Solution

The fourth proportional to 432.90, 649.08 and 189.54 is: 284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.90 : 649.08 = 189.54 : x
  2. Step 2: Convert to fraction form
    432.90/649.08 = 189.54/x
  3. Step 3: Cross multiply
    432.90x = 649.08 × 189.54
  4. Step 4: Simplify right side
    432.90x = 123,026.62
  5. Step 5: Solve for x
    x = 123,026.62/432.90
  6. Step 6: Final answer
    x = 284.19

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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.