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Finding the Fourth Proportional to 598.86, 826.34 and 378.11

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Solution

The fourth proportional to 598.86, 826.34 and 378.11 is: 521.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.86 : 826.34 = 378.11 : x
  2. Step 2: Convert to fraction form
    598.86/826.34 = 378.11/x
  3. Step 3: Cross multiply
    598.86x = 826.34 × 378.11
  4. Step 4: Simplify right side
    598.86x = 312,447.59
  5. Step 5: Solve for x
    x = 312,447.59/598.86
  6. Step 6: Final answer
    x = 521.74

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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.