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Finding the Fourth Proportional to 598.87, 826.57 and 378.11

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Solution

The fourth proportional to 598.87, 826.57 and 378.11 is: 521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.87 : 826.57 = 378.11 : x
  2. Step 2: Convert to fraction form
    598.87/826.57 = 378.11/x
  3. Step 3: Cross multiply
    598.87x = 826.57 × 378.11
  4. Step 4: Simplify right side
    598.87x = 312,536.92
  5. Step 5: Solve for x
    x = 312,536.92/598.87
  6. Step 6: Final answer
    x = 521.88

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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.