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Finding the Fourth Proportional to 449, 672.32 and 294.48

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Solution

The fourth proportional to 449, 672.32 and 294.48 is: 440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    449 : 672.32 = 294.48 : x
  2. Step 2: Convert to fraction form
    449/672.32 = 294.48/x
  3. Step 3: Cross multiply
    449x = 672.32 × 294.48
  4. Step 4: Simplify right side
    449x = 197,984.79
  5. Step 5: Solve for x
    x = 197,984.79/449
  6. Step 6: Final answer
    x = 440.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.