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Finding the Fourth Proportional to 432.14, 649.22 and 294.84

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Solution

The fourth proportional to 432.14, 649.22 and 294.84 is: 442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.14 : 649.22 = 294.84 : x
  2. Step 2: Convert to fraction form
    432.14/649.22 = 294.84/x
  3. Step 3: Cross multiply
    432.14x = 649.22 × 294.84
  4. Step 4: Simplify right side
    432.14x = 191,414.55
  5. Step 5: Solve for x
    x = 191,414.55/432.14
  6. Step 6: Final answer
    x = 442.95

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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.