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Finding the Fourth Proportional to 598.07, 825.44 and 577.82

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Solution

The fourth proportional to 598.07, 825.44 and 577.82 is: 797.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.07 : 825.44 = 577.82 : x
  2. Step 2: Convert to fraction form
    598.07/825.44 = 577.82/x
  3. Step 3: Cross multiply
    598.07x = 825.44 × 577.82
  4. Step 4: Simplify right side
    598.07x = 476,948.72
  5. Step 5: Solve for x
    x = 476,948.72/598.07
  6. Step 6: Final answer
    x = 797.49

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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.