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Finding the Fourth Proportional to 449.02, 619.57 and 252.49

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Solution

The fourth proportional to 449.02, 619.57 and 252.49 is: 348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.02 : 619.57 = 252.49 : x
  2. Step 2: Convert to fraction form
    449.02/619.57 = 252.49/x
  3. Step 3: Cross multiply
    449.02x = 619.57 × 252.49
  4. Step 4: Simplify right side
    449.02x = 156,437.61
  5. Step 5: Solve for x
    x = 156,437.61/449.02
  6. Step 6: Final answer
    x = 348.40

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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.