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Finding the Fourth Proportional to 342.57, 514.67 and 337.17

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Solution

The fourth proportional to 342.57, 514.67 and 337.17 is: 506.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.57 : 514.67 = 337.17 : x
  2. Step 2: Convert to fraction form
    342.57/514.67 = 337.17/x
  3. Step 3: Cross multiply
    342.57x = 514.67 × 337.17
  4. Step 4: Simplify right side
    342.57x = 173,529.60
  5. Step 5: Solve for x
    x = 173,529.60/342.57
  6. Step 6: Final answer
    x = 506.55

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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.