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Finding the Fourth Proportional to 876.72, 1,315.18 and 227.51

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Solution

The fourth proportional to 876.72, 1,315.18 and 227.51 is: 341.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.72 : 1,315.18 = 227.51 : x
  2. Step 2: Convert to fraction form
    876.72/1,315.18 = 227.51/x
  3. Step 3: Cross multiply
    876.72x = 1,315.18 × 227.51
  4. Step 4: Simplify right side
    876.72x = 299,210.03
  5. Step 5: Solve for x
    x = 299,210.03/876.72
  6. Step 6: Final answer
    x = 341.28

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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.