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Finding the Fourth Proportional to 375.20, 563.05 and 282.45

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Solution

The fourth proportional to 375.20, 563.05 and 282.45 is: 423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.20 : 563.05 = 282.45 : x
  2. Step 2: Convert to fraction form
    375.20/563.05 = 282.45/x
  3. Step 3: Cross multiply
    375.20x = 563.05 × 282.45
  4. Step 4: Simplify right side
    375.20x = 159,035.94
  5. Step 5: Solve for x
    x = 159,035.94/375.20
  6. Step 6: Final answer
    x = 423.87

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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.