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Finding the Fourth Proportional to 649.40, 894.96 and 462.88

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Solution

The fourth proportional to 649.40, 894.96 and 462.88 is: 637.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 894.96 = 462.88 : x
  2. Step 2: Convert to fraction form
    649.40/894.96 = 462.88/x
  3. Step 3: Cross multiply
    649.40x = 894.96 × 462.88
  4. Step 4: Simplify right side
    649.40x = 414,259.08
  5. Step 5: Solve for x
    x = 414,259.08/649.40
  6. Step 6: Final answer
    x = 637.91

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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.