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Finding the Fourth Proportional to 372.80, 514.46 and 204.76

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Solution

The fourth proportional to 372.80, 514.46 and 204.76 is: 282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.80 : 514.46 = 204.76 : x
  2. Step 2: Convert to fraction form
    372.80/514.46 = 204.76/x
  3. Step 3: Cross multiply
    372.80x = 514.46 × 204.76
  4. Step 4: Simplify right side
    372.80x = 105,340.83
  5. Step 5: Solve for x
    x = 105,340.83/372.80
  6. Step 6: Final answer
    x = 282.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.