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Finding the Fourth Proportional to 398.62, 597.19 and 252.06

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Solution

The fourth proportional to 398.62, 597.19 and 252.06 is: 377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.62 : 597.19 = 252.06 : x
  2. Step 2: Convert to fraction form
    398.62/597.19 = 252.06/x
  3. Step 3: Cross multiply
    398.62x = 597.19 × 252.06
  4. Step 4: Simplify right side
    398.62x = 150,527.71
  5. Step 5: Solve for x
    x = 150,527.71/398.62
  6. Step 6: Final answer
    x = 377.62

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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.