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Finding the Fourth Proportional to 433.24, 649.05 and 288.25

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Solution

The fourth proportional to 433.24, 649.05 and 288.25 is: 431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.24 : 649.05 = 288.25 : x
  2. Step 2: Convert to fraction form
    433.24/649.05 = 288.25/x
  3. Step 3: Cross multiply
    433.24x = 649.05 × 288.25
  4. Step 4: Simplify right side
    433.24x = 187,088.66
  5. Step 5: Solve for x
    x = 187,088.66/433.24
  6. Step 6: Final answer
    x = 431.84

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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.