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Finding the Fourth Proportional to 398.91, 550.05 and 258.84

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Solution

The fourth proportional to 398.91, 550.05 and 258.84 is: 356.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.91 : 550.05 = 258.84 : x
  2. Step 2: Convert to fraction form
    398.91/550.05 = 258.84/x
  3. Step 3: Cross multiply
    398.91x = 550.05 × 258.84
  4. Step 4: Simplify right side
    398.91x = 142,374.94
  5. Step 5: Solve for x
    x = 142,374.94/398.91
  6. Step 6: Final answer
    x = 356.91

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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.