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Finding the Fourth Proportional to 274.53, 409.02 and 260.76

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Solution

The fourth proportional to 274.53, 409.02 and 260.76 is: 388.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.53 : 409.02 = 260.76 : x
  2. Step 2: Convert to fraction form
    274.53/409.02 = 260.76/x
  3. Step 3: Cross multiply
    274.53x = 409.02 × 260.76
  4. Step 4: Simplify right side
    274.53x = 106,656.06
  5. Step 5: Solve for x
    x = 106,656.06/274.53
  6. Step 6: Final answer
    x = 388.50

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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.