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Finding the Fourth Proportional to 597.96, 825.24 and 411.90

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Solution

The fourth proportional to 597.96, 825.24 and 411.90 is: 568.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.96 : 825.24 = 411.90 : x
  2. Step 2: Convert to fraction form
    597.96/825.24 = 411.90/x
  3. Step 3: Cross multiply
    597.96x = 825.24 × 411.90
  4. Step 4: Simplify right side
    597.96x = 339,916.36
  5. Step 5: Solve for x
    x = 339,916.36/597.96
  6. Step 6: Final answer
    x = 568.46

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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.