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Finding the Fourth Proportional to 597.86, 825.03 and 411.56

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Solution

The fourth proportional to 597.86, 825.03 and 411.56 is: 567.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.86 : 825.03 = 411.56 : x
  2. Step 2: Convert to fraction form
    597.86/825.03 = 411.56/x
  3. Step 3: Cross multiply
    597.86x = 825.03 × 411.56
  4. Step 4: Simplify right side
    597.86x = 339,551.41
  5. Step 5: Solve for x
    x = 339,551.41/597.86
  6. Step 6: Final answer
    x = 567.94

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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.