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Finding the Fourth Proportional to 579.06, 869.40 and 396

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Solution

The fourth proportional to 579.06, 869.40 and 396 is: 594.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.06 : 869.40 = 396 : x
  2. Step 2: Convert to fraction form
    579.06/869.40 = 396/x
  3. Step 3: Cross multiply
    579.06x = 869.40 × 396
  4. Step 4: Simplify right side
    579.06x = 344,282.40
  5. Step 5: Solve for x
    x = 344,282.40/579.06
  6. Step 6: Final answer
    x = 594.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.