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Finding the Fourth Proportional to 598.12, 825.16 and 398.88

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Solution

The fourth proportional to 598.12, 825.16 and 398.88 is: 550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.12 : 825.16 = 398.88 : x
  2. Step 2: Convert to fraction form
    598.12/825.16 = 398.88/x
  3. Step 3: Cross multiply
    598.12x = 825.16 × 398.88
  4. Step 4: Simplify right side
    598.12x = 329,139.82
  5. Step 5: Solve for x
    x = 329,139.82/598.12
  6. Step 6: Final answer
    x = 550.29

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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.