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Finding the Fourth Proportional to 274.86, 410.04 and 229.50

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Solution

The fourth proportional to 274.86, 410.04 and 229.50 is: 342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 410.04 = 229.50 : x
  2. Step 2: Convert to fraction form
    274.86/410.04 = 229.50/x
  3. Step 3: Cross multiply
    274.86x = 410.04 × 229.50
  4. Step 4: Simplify right side
    274.86x = 94,104.18
  5. Step 5: Solve for x
    x = 94,104.18/274.86
  6. Step 6: Final answer
    x = 342.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.