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Finding the Fourth Proportional to 872.83, 1,309.23 and 288.10

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Solution

The fourth proportional to 872.83, 1,309.23 and 288.10 is: 432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.83 : 1,309.23 = 288.10 : x
  2. Step 2: Convert to fraction form
    872.83/1,309.23 = 288.10/x
  3. Step 3: Cross multiply
    872.83x = 1,309.23 × 288.10
  4. Step 4: Simplify right side
    872.83x = 377,185.89
  5. Step 5: Solve for x
    x = 377,185.89/872.83
  6. Step 6: Final answer
    x = 432.14

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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.