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Finding the Fourth Proportional to 432.99, 649.78 and 159.30

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Solution

The fourth proportional to 432.99, 649.78 and 159.30 is: 239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.99 : 649.78 = 159.30 : x
  2. Step 2: Convert to fraction form
    432.99/649.78 = 159.30/x
  3. Step 3: Cross multiply
    432.99x = 649.78 × 159.30
  4. Step 4: Simplify right side
    432.99x = 103,509.56
  5. Step 5: Solve for x
    x = 103,509.56/432.99
  6. Step 6: Final answer
    x = 239.06

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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.