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Finding the Fourth Proportional to 579.52, 799.50 and 424

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Solution

The fourth proportional to 579.52, 799.50 and 424 is: 584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.52 : 799.50 = 424 : x
  2. Step 2: Convert to fraction form
    579.52/799.50 = 424/x
  3. Step 3: Cross multiply
    579.52x = 799.50 × 424
  4. Step 4: Simplify right side
    579.52x = 338,988
  5. Step 5: Solve for x
    x = 338,988/579.52
  6. Step 6: Final answer
    x = 584.95

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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.