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Finding the Fourth Proportional to 598.38, 825.78 and 424.09

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Solution

The fourth proportional to 598.38, 825.78 and 424.09 is: 585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.38 : 825.78 = 424.09 : x
  2. Step 2: Convert to fraction form
    598.38/825.78 = 424.09/x
  3. Step 3: Cross multiply
    598.38x = 825.78 × 424.09
  4. Step 4: Simplify right side
    598.38x = 350,205.04
  5. Step 5: Solve for x
    x = 350,205.04/598.38
  6. Step 6: Final answer
    x = 585.26

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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.