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Finding the Fourth Proportional to 598.52, 825.84 and 411.95

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Solution

The fourth proportional to 598.52, 825.84 and 411.95 is: 568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.52 : 825.84 = 411.95 : x
  2. Step 2: Convert to fraction form
    598.52/825.84 = 411.95/x
  3. Step 3: Cross multiply
    598.52x = 825.84 × 411.95
  4. Step 4: Simplify right side
    598.52x = 340,206.85
  5. Step 5: Solve for x
    x = 340,206.85/598.52
  6. Step 6: Final answer
    x = 568.41

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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.