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Finding the Fourth Proportional to 598.74, 826.38 and 422.52

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Solution

The fourth proportional to 598.74, 826.38 and 422.52 is: 583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.74 : 826.38 = 422.52 : x
  2. Step 2: Convert to fraction form
    598.74/826.38 = 422.52/x
  3. Step 3: Cross multiply
    598.74x = 826.38 × 422.52
  4. Step 4: Simplify right side
    598.74x = 349,162.08
  5. Step 5: Solve for x
    x = 349,162.08/598.74
  6. Step 6: Final answer
    x = 583.16

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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.