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Finding the Fourth Proportional to 598.78, 898.14 and 252.04

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Solution

The fourth proportional to 598.78, 898.14 and 252.04 is: 378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.78 : 898.14 = 252.04 : x
  2. Step 2: Convert to fraction form
    598.78/898.14 = 252.04/x
  3. Step 3: Cross multiply
    598.78x = 898.14 × 252.04
  4. Step 4: Simplify right side
    598.78x = 226,367.21
  5. Step 5: Solve for x
    x = 226,367.21/598.78
  6. Step 6: Final answer
    x = 378.05

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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.