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Finding the Fourth Proportional to 598.79, 826.43 and 362.88

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Solution

The fourth proportional to 598.79, 826.43 and 362.88 is: 500.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.79 : 826.43 = 362.88 : x
  2. Step 2: Convert to fraction form
    598.79/826.43 = 362.88/x
  3. Step 3: Cross multiply
    598.79x = 826.43 × 362.88
  4. Step 4: Simplify right side
    598.79x = 299,894.12
  5. Step 5: Solve for x
    x = 299,894.12/598.79
  6. Step 6: Final answer
    x = 500.83

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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.