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Finding the Fourth Proportional to 597.16, 825.30 and 480.52

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Solution

The fourth proportional to 597.16, 825.30 and 480.52 is: 664.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.16 : 825.30 = 480.52 : x
  2. Step 2: Convert to fraction form
    597.16/825.30 = 480.52/x
  3. Step 3: Cross multiply
    597.16x = 825.30 × 480.52
  4. Step 4: Simplify right side
    597.16x = 396,573.16
  5. Step 5: Solve for x
    x = 396,573.16/597.16
  6. Step 6: Final answer
    x = 664.10

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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.