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Finding the Fourth Proportional to 598.83, 826.20 and 362.86

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Solution

The fourth proportional to 598.83, 826.20 and 362.86 is: 500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.83 : 826.20 = 362.86 : x
  2. Step 2: Convert to fraction form
    598.83/826.20 = 362.86/x
  3. Step 3: Cross multiply
    598.83x = 826.20 × 362.86
  4. Step 4: Simplify right side
    598.83x = 299,794.93
  5. Step 5: Solve for x
    x = 299,794.93/598.83
  6. Step 6: Final answer
    x = 500.63

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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.