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Finding the Fourth Proportional to 432.98, 649.47 and 189.50

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Solution

The fourth proportional to 432.98, 649.47 and 189.50 is: 284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.98 : 649.47 = 189.50 : x
  2. Step 2: Convert to fraction form
    432.98/649.47 = 189.50/x
  3. Step 3: Cross multiply
    432.98x = 649.47 × 189.50
  4. Step 4: Simplify right side
    432.98x = 123,074.57
  5. Step 5: Solve for x
    x = 123,074.57/432.98
  6. Step 6: Final answer
    x = 284.25

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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.