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Finding the Fourth Proportional to 597.44, 824.76 and 398.60

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Solution

The fourth proportional to 597.44, 824.76 and 398.60 is: 550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.44 : 824.76 = 398.60 : x
  2. Step 2: Convert to fraction form
    597.44/824.76 = 398.60/x
  3. Step 3: Cross multiply
    597.44x = 824.76 × 398.60
  4. Step 4: Simplify right side
    597.44x = 328,745.21
  5. Step 5: Solve for x
    x = 328,745.21/597.44
  6. Step 6: Final answer
    x = 550.26

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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.