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Finding the Fourth Proportional to 342.46, 514.80 and 282.04

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Solution

The fourth proportional to 342.46, 514.80 and 282.04 is: 423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.46 : 514.80 = 282.04 : x
  2. Step 2: Convert to fraction form
    342.46/514.80 = 282.04/x
  3. Step 3: Cross multiply
    342.46x = 514.80 × 282.04
  4. Step 4: Simplify right side
    342.46x = 145,194.19
  5. Step 5: Solve for x
    x = 145,194.19/342.46
  6. Step 6: Final answer
    x = 423.97

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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.