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Finding the Fourth Proportional to 579.98, 870.12 and 169.16

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Solution

The fourth proportional to 579.98, 870.12 and 169.16 is: 253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.98 : 870.12 = 169.16 : x
  2. Step 2: Convert to fraction form
    579.98/870.12 = 169.16/x
  3. Step 3: Cross multiply
    579.98x = 870.12 × 169.16
  4. Step 4: Simplify right side
    579.98x = 147,185.15
  5. Step 5: Solve for x
    x = 147,185.15/579.98
  6. Step 6: Final answer
    x = 253.78

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