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Finding the Fourth Proportional to 398.25, 596.45 and 260.96

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Solution

The fourth proportional to 398.25, 596.45 and 260.96 is: 390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.25 : 596.45 = 260.96 : x
  2. Step 2: Convert to fraction form
    398.25/596.45 = 260.96/x
  3. Step 3: Cross multiply
    398.25x = 596.45 × 260.96
  4. Step 4: Simplify right side
    398.25x = 155,649.59
  5. Step 5: Solve for x
    x = 155,649.59/398.25
  6. Step 6: Final answer
    x = 390.83

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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.