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Finding the Fourth Proportional to 432.93, 649.74 and 189.63

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Solution

The fourth proportional to 432.93, 649.74 and 189.63 is: 284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.93 : 649.74 = 189.63 : x
  2. Step 2: Convert to fraction form
    432.93/649.74 = 189.63/x
  3. Step 3: Cross multiply
    432.93x = 649.74 × 189.63
  4. Step 4: Simplify right side
    432.93x = 123,210.91
  5. Step 5: Solve for x
    x = 123,210.91/432.93
  6. Step 6: Final answer
    x = 284.60

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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.