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Finding the Fourth Proportional to 439.19, 658.37 and 265.64

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Solution

The fourth proportional to 439.19, 658.37 and 265.64 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.19 : 658.37 = 265.64 : x
  2. Step 2: Convert to fraction form
    439.19/658.37 = 265.64/x
  3. Step 3: Cross multiply
    439.19x = 658.37 × 265.64
  4. Step 4: Simplify right side
    439.19x = 174,891.72
  5. Step 5: Solve for x
    x = 174,891.72/439.19
  6. Step 6: Final answer
    x = 398.22

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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.