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Finding the Fourth Proportional to 274.17, 410.55 and 230.61

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Solution

The fourth proportional to 274.17, 410.55 and 230.61 is: 345.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.17 : 410.55 = 230.61 : x
  2. Step 2: Convert to fraction form
    274.17/410.55 = 230.61/x
  3. Step 3: Cross multiply
    274.17x = 410.55 × 230.61
  4. Step 4: Simplify right side
    274.17x = 94,676.94
  5. Step 5: Solve for x
    x = 94,676.94/274.17
  6. Step 6: Final answer
    x = 345.32

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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.