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Finding the Fourth Proportional to 449.78, 619.44 and 440.24

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Solution

The fourth proportional to 449.78, 619.44 and 440.24 is: 606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.78 : 619.44 = 440.24 : x
  2. Step 2: Convert to fraction form
    449.78/619.44 = 440.24/x
  3. Step 3: Cross multiply
    449.78x = 619.44 × 440.24
  4. Step 4: Simplify right side
    449.78x = 272,702.27
  5. Step 5: Solve for x
    x = 272,702.27/449.78
  6. Step 6: Final answer
    x = 606.30

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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.