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Finding the Fourth Proportional to 298.55, 412.70 and 252.18

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Solution

The fourth proportional to 298.55, 412.70 and 252.18 is: 348.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.55 : 412.70 = 252.18 : x
  2. Step 2: Convert to fraction form
    298.55/412.70 = 252.18/x
  3. Step 3: Cross multiply
    298.55x = 412.70 × 252.18
  4. Step 4: Simplify right side
    298.55x = 104,073.43
  5. Step 5: Solve for x
    x = 104,073.43/298.55
  6. Step 6: Final answer
    x = 348.59

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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.