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Finding the Fourth Proportional to 298.25, 410.61 and 259.42

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Solution

The fourth proportional to 298.25, 410.61 and 259.42 is: 357.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.25 : 410.61 = 259.42 : x
  2. Step 2: Convert to fraction form
    298.25/410.61 = 259.42/x
  3. Step 3: Cross multiply
    298.25x = 410.61 × 259.42
  4. Step 4: Simplify right side
    298.25x = 106,520.45
  5. Step 5: Solve for x
    x = 106,520.45/298.25
  6. Step 6: Final answer
    x = 357.15

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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.