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Finding the Fourth Proportional to 433.45, 649.52 and 288.87

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Solution

The fourth proportional to 433.45, 649.52 and 288.87 is: 432.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.45 : 649.52 = 288.87 : x
  2. Step 2: Convert to fraction form
    433.45/649.52 = 288.87/x
  3. Step 3: Cross multiply
    433.45x = 649.52 × 288.87
  4. Step 4: Simplify right side
    433.45x = 187,625.67
  5. Step 5: Solve for x
    x = 187,625.67/433.45
  6. Step 6: Final answer
    x = 432.86

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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.