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Finding the Fourth Proportional to 598.80, 825.46 and 412

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Solution

The fourth proportional to 598.80, 825.46 and 412 is: 567.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.80 : 825.46 = 412 : x
  2. Step 2: Convert to fraction form
    598.80/825.46 = 412/x
  3. Step 3: Cross multiply
    598.80x = 825.46 × 412
  4. Step 4: Simplify right side
    598.80x = 340,089.52
  5. Step 5: Solve for x
    x = 340,089.52/598.80
  6. Step 6: Final answer
    x = 567.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.