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Finding the Fourth Proportional to 597.36, 825.12 and 459.17

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Solution

The fourth proportional to 597.36, 825.12 and 459.17 is: 634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.36 : 825.12 = 459.17 : x
  2. Step 2: Convert to fraction form
    597.36/825.12 = 459.17/x
  3. Step 3: Cross multiply
    597.36x = 825.12 × 459.17
  4. Step 4: Simplify right side
    597.36x = 378,872.41
  5. Step 5: Solve for x
    x = 378,872.41/597.36
  6. Step 6: Final answer
    x = 634.24

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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.