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Finding the Fourth Proportional to 876.49, 1,314.80 and 227.23

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Solution

The fourth proportional to 876.49, 1,314.80 and 227.23 is: 340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.49 : 1,314.80 = 227.23 : x
  2. Step 2: Convert to fraction form
    876.49/1,314.80 = 227.23/x
  3. Step 3: Cross multiply
    876.49x = 1,314.80 × 227.23
  4. Step 4: Simplify right side
    876.49x = 298,762.00
  5. Step 5: Solve for x
    x = 298,762.00/876.49
  6. Step 6: Final answer
    x = 340.86

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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.