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Finding the Fourth Proportional to 597.69, 825.49 and 408.32

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Solution

The fourth proportional to 597.69, 825.49 and 408.32 is: 563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.69 : 825.49 = 408.32 : x
  2. Step 2: Convert to fraction form
    597.69/825.49 = 408.32/x
  3. Step 3: Cross multiply
    597.69x = 825.49 × 408.32
  4. Step 4: Simplify right side
    597.69x = 337,064.08
  5. Step 5: Solve for x
    x = 337,064.08/597.69
  6. Step 6: Final answer
    x = 563.94

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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.