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Finding the Fourth Proportional to 398.74, 597.90 and 261.86

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Solution

The fourth proportional to 398.74, 597.90 and 261.86 is: 392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.74 : 597.90 = 261.86 : x
  2. Step 2: Convert to fraction form
    398.74/597.90 = 261.86/x
  3. Step 3: Cross multiply
    398.74x = 597.90 × 261.86
  4. Step 4: Simplify right side
    398.74x = 156,566.09
  5. Step 5: Solve for x
    x = 156,566.09/398.74
  6. Step 6: Final answer
    x = 392.65

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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.