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Finding the Fourth Proportional to 398.76, 550.36 and 259.04

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Solution

The fourth proportional to 398.76, 550.36 and 259.04 is: 357.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.76 : 550.36 = 259.04 : x
  2. Step 2: Convert to fraction form
    398.76/550.36 = 259.04/x
  3. Step 3: Cross multiply
    398.76x = 550.36 × 259.04
  4. Step 4: Simplify right side
    398.76x = 142,565.25
  5. Step 5: Solve for x
    x = 142,565.25/398.76
  6. Step 6: Final answer
    x = 357.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.