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Finding the Fourth Proportional to 598.90, 898.46 and 252.22

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Solution

The fourth proportional to 598.90, 898.46 and 252.22 is: 378.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.90 : 898.46 = 252.22 : x
  2. Step 2: Convert to fraction form
    598.90/898.46 = 252.22/x
  3. Step 3: Cross multiply
    598.90x = 898.46 × 252.22
  4. Step 4: Simplify right side
    598.90x = 226,609.58
  5. Step 5: Solve for x
    x = 226,609.58/598.90
  6. Step 6: Final answer
    x = 378.38

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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.