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Finding the Fourth Proportional to 598.43, 826.22 and 536.15

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Solution

The fourth proportional to 598.43, 826.22 and 536.15 is: 740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.43 : 826.22 = 536.15 : x
  2. Step 2: Convert to fraction form
    598.43/826.22 = 536.15/x
  3. Step 3: Cross multiply
    598.43x = 826.22 × 536.15
  4. Step 4: Simplify right side
    598.43x = 442,977.85
  5. Step 5: Solve for x
    x = 442,977.85/598.43
  6. Step 6: Final answer
    x = 740.23

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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.