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Finding the Fourth Proportional to 342.48, 514.12 and 274.84

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Solution

The fourth proportional to 342.48, 514.12 and 274.84 is: 412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.48 : 514.12 = 274.84 : x
  2. Step 2: Convert to fraction form
    342.48/514.12 = 274.84/x
  3. Step 3: Cross multiply
    342.48x = 514.12 × 274.84
  4. Step 4: Simplify right side
    342.48x = 141,300.74
  5. Step 5: Solve for x
    x = 141,300.74/342.48
  6. Step 6: Final answer
    x = 412.58

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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.