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Finding the Fourth Proportional to 469.92, 648.14 and 449.24

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Solution

The fourth proportional to 469.92, 648.14 and 449.24 is: 619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.92 : 648.14 = 449.24 : x
  2. Step 2: Convert to fraction form
    469.92/648.14 = 449.24/x
  3. Step 3: Cross multiply
    469.92x = 648.14 × 449.24
  4. Step 4: Simplify right side
    469.92x = 291,170.41
  5. Step 5: Solve for x
    x = 291,170.41/469.92
  6. Step 6: Final answer
    x = 619.62

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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.