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Finding the Fourth Proportional to 274.18, 410.49 and 246.42

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Solution

The fourth proportional to 274.18, 410.49 and 246.42 is: 368.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.18 : 410.49 = 246.42 : x
  2. Step 2: Convert to fraction form
    274.18/410.49 = 246.42/x
  3. Step 3: Cross multiply
    274.18x = 410.49 × 246.42
  4. Step 4: Simplify right side
    274.18x = 101,152.95
  5. Step 5: Solve for x
    x = 101,152.95/274.18
  6. Step 6: Final answer
    x = 368.93

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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.