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Finding the Fourth Proportional to 598.41, 825.39 and 578.34

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Solution

The fourth proportional to 598.41, 825.39 and 578.34 is: 797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.41 : 825.39 = 578.34 : x
  2. Step 2: Convert to fraction form
    598.41/825.39 = 578.34/x
  3. Step 3: Cross multiply
    598.41x = 825.39 × 578.34
  4. Step 4: Simplify right side
    598.41x = 477,356.05
  5. Step 5: Solve for x
    x = 477,356.05/598.41
  6. Step 6: Final answer
    x = 797.71

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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.