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Finding the Fourth Proportional to 449.24, 672.61 and 294.77

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Solution

The fourth proportional to 449.24, 672.61 and 294.77 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.24 : 672.61 = 294.77 : x
  2. Step 2: Convert to fraction form
    449.24/672.61 = 294.77/x
  3. Step 3: Cross multiply
    449.24x = 672.61 × 294.77
  4. Step 4: Simplify right side
    449.24x = 198,265.25
  5. Step 5: Solve for x
    x = 198,265.25/449.24
  6. Step 6: Final answer
    x = 441.33

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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.