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Finding the Fourth Proportional to 449.15, 672.65 and 265.99

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Solution

The fourth proportional to 449.15, 672.65 and 265.99 is: 398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.15 : 672.65 = 265.99 : x
  2. Step 2: Convert to fraction form
    449.15/672.65 = 265.99/x
  3. Step 3: Cross multiply
    449.15x = 672.65 × 265.99
  4. Step 4: Simplify right side
    449.15x = 178,918.17
  5. Step 5: Solve for x
    x = 178,918.17/449.15
  6. Step 6: Final answer
    x = 398.35

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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.