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Finding the Fourth Proportional to 649.32, 972.04 and 495.84

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Solution

The fourth proportional to 649.32, 972.04 and 495.84 is: 742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.32 : 972.04 = 495.84 : x
  2. Step 2: Convert to fraction form
    649.32/972.04 = 495.84/x
  3. Step 3: Cross multiply
    649.32x = 972.04 × 495.84
  4. Step 4: Simplify right side
    649.32x = 481,976.31
  5. Step 5: Solve for x
    x = 481,976.31/649.32
  6. Step 6: Final answer
    x = 742.28

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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.