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Finding the Fourth Proportional to 444.32, 667.52 and 398.24

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Solution

The fourth proportional to 444.32, 667.52 and 398.24 is: 598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    444.32 : 667.52 = 398.24 : x
  2. Step 2: Convert to fraction form
    444.32/667.52 = 398.24/x
  3. Step 3: Cross multiply
    444.32x = 667.52 × 398.24
  4. Step 4: Simplify right side
    444.32x = 265,833.16
  5. Step 5: Solve for x
    x = 265,833.16/444.32
  6. Step 6: Final answer
    x = 598.29

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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.