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Finding the Fourth Proportional to 598.34, 826.18 and 388.66

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Solution

The fourth proportional to 598.34, 826.18 and 388.66 is: 536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.34 : 826.18 = 388.66 : x
  2. Step 2: Convert to fraction form
    598.34/826.18 = 388.66/x
  3. Step 3: Cross multiply
    598.34x = 826.18 × 388.66
  4. Step 4: Simplify right side
    598.34x = 321,103.12
  5. Step 5: Solve for x
    x = 321,103.12/598.34
  6. Step 6: Final answer
    x = 536.66

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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.