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Finding the Fourth Proportional to 342.79, 514.71 and 274.11

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Solution

The fourth proportional to 342.79, 514.71 and 274.11 is: 411.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.79 : 514.71 = 274.11 : x
  2. Step 2: Convert to fraction form
    342.79/514.71 = 274.11/x
  3. Step 3: Cross multiply
    342.79x = 514.71 × 274.11
  4. Step 4: Simplify right side
    342.79x = 141,087.16
  5. Step 5: Solve for x
    x = 141,087.16/342.79
  6. Step 6: Final answer
    x = 411.58

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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.