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Finding the Fourth Proportional to 449.07, 619.47 and 338.34

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Solution

The fourth proportional to 449.07, 619.47 and 338.34 is: 466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.07 : 619.47 = 338.34 : x
  2. Step 2: Convert to fraction form
    449.07/619.47 = 338.34/x
  3. Step 3: Cross multiply
    449.07x = 619.47 × 338.34
  4. Step 4: Simplify right side
    449.07x = 209,591.48
  5. Step 5: Solve for x
    x = 209,591.48/449.07
  6. Step 6: Final answer
    x = 466.72

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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.