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Finding the Fourth Proportional to 432.96, 649.48 and 288.80

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Solution

The fourth proportional to 432.96, 649.48 and 288.80 is: 433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.96 : 649.48 = 288.80 : x
  2. Step 2: Convert to fraction form
    432.96/649.48 = 288.80/x
  3. Step 3: Cross multiply
    432.96x = 649.48 × 288.80
  4. Step 4: Simplify right side
    432.96x = 187,569.82
  5. Step 5: Solve for x
    x = 187,569.82/432.96
  6. Step 6: Final answer
    x = 433.23

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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.