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Finding the Fourth Proportional to 449.29, 672.22 and 312.58

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Solution

The fourth proportional to 449.29, 672.22 and 312.58 is: 467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.29 : 672.22 = 312.58 : x
  2. Step 2: Convert to fraction form
    449.29/672.22 = 312.58/x
  3. Step 3: Cross multiply
    449.29x = 672.22 × 312.58
  4. Step 4: Simplify right side
    449.29x = 210,122.53
  5. Step 5: Solve for x
    x = 210,122.53/449.29
  6. Step 6: Final answer
    x = 467.68

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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.