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Finding the Fourth Proportional to 649.44, 896.52 and 463.08

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Solution

The fourth proportional to 649.44, 896.52 and 463.08 is: 639.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 896.52 = 463.08 : x
  2. Step 2: Convert to fraction form
    649.44/896.52 = 463.08/x
  3. Step 3: Cross multiply
    649.44x = 896.52 × 463.08
  4. Step 4: Simplify right side
    649.44x = 415,160.48
  5. Step 5: Solve for x
    x = 415,160.48/649.44
  6. Step 6: Final answer
    x = 639.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.