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Finding the Fourth Proportional to 432.64, 649.24 and 189.18

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Solution

The fourth proportional to 432.64, 649.24 and 189.18 is: 283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.64 : 649.24 = 189.18 : x
  2. Step 2: Convert to fraction form
    432.64/649.24 = 189.18/x
  3. Step 3: Cross multiply
    432.64x = 649.24 × 189.18
  4. Step 4: Simplify right side
    432.64x = 122,823.22
  5. Step 5: Solve for x
    x = 122,823.22/432.64
  6. Step 6: Final answer
    x = 283.89

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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.