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Finding the Fourth Proportional to 598.20, 825.78 and 401.82

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Solution

The fourth proportional to 598.20, 825.78 and 401.82 is: 554.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.20 : 825.78 = 401.82 : x
  2. Step 2: Convert to fraction form
    598.20/825.78 = 401.82/x
  3. Step 3: Cross multiply
    598.20x = 825.78 × 401.82
  4. Step 4: Simplify right side
    598.20x = 331,814.92
  5. Step 5: Solve for x
    x = 331,814.92/598.20
  6. Step 6: Final answer
    x = 554.69

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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.