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Finding the Fourth Proportional to 597.54, 825.36 and 578.41

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Solution

The fourth proportional to 597.54, 825.36 and 578.41 is: 798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.54 : 825.36 = 578.41 : x
  2. Step 2: Convert to fraction form
    597.54/825.36 = 578.41/x
  3. Step 3: Cross multiply
    597.54x = 825.36 × 578.41
  4. Step 4: Simplify right side
    597.54x = 477,392.25
  5. Step 5: Solve for x
    x = 477,392.25/597.54
  6. Step 6: Final answer
    x = 798.92

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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.