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Finding the Fourth Proportional to 598.24, 826.10 and 388.75

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Solution

The fourth proportional to 598.24, 826.10 and 388.75 is: 536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.24 : 826.10 = 388.75 : x
  2. Step 2: Convert to fraction form
    598.24/826.10 = 388.75/x
  3. Step 3: Cross multiply
    598.24x = 826.10 × 388.75
  4. Step 4: Simplify right side
    598.24x = 321,146.38
  5. Step 5: Solve for x
    x = 321,146.38/598.24
  6. Step 6: Final answer
    x = 536.82

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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.