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Finding the Fourth Proportional to 439.49, 656.38 and 398.27

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Solution

The fourth proportional to 439.49, 656.38 and 398.27 is: 594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    439.49 : 656.38 = 398.27 : x
  2. Step 2: Convert to fraction form
    439.49/656.38 = 398.27/x
  3. Step 3: Cross multiply
    439.49x = 656.38 × 398.27
  4. Step 4: Simplify right side
    439.49x = 261,417.11
  5. Step 5: Solve for x
    x = 261,417.11/439.49
  6. Step 6: Final answer
    x = 594.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.