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Finding the Fourth Proportional to 598.28, 825.52 and 577.48

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Solution

The fourth proportional to 598.28, 825.52 and 577.48 is: 796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.28 : 825.52 = 577.48 : x
  2. Step 2: Convert to fraction form
    598.28/825.52 = 577.48/x
  3. Step 3: Cross multiply
    598.28x = 825.52 × 577.48
  4. Step 4: Simplify right side
    598.28x = 476,721.29
  5. Step 5: Solve for x
    x = 476,721.29/598.28
  6. Step 6: Final answer
    x = 796.82

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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.