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Finding the Fourth Proportional to 872.93, 1,309.46 and 256.59

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Solution

The fourth proportional to 872.93, 1,309.46 and 256.59 is: 384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.93 : 1,309.46 = 256.59 : x
  2. Step 2: Convert to fraction form
    872.93/1,309.46 = 256.59/x
  3. Step 3: Cross multiply
    872.93x = 1,309.46 × 256.59
  4. Step 4: Simplify right side
    872.93x = 335,993.06
  5. Step 5: Solve for x
    x = 335,993.06/872.93
  6. Step 6: Final answer
    x = 384.90

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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.