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Finding the Fourth Proportional to 375.24, 563.46 and 282.70

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Solution

The fourth proportional to 375.24, 563.46 and 282.70 is: 424.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.24 : 563.46 = 282.70 : x
  2. Step 2: Convert to fraction form
    375.24/563.46 = 282.70/x
  3. Step 3: Cross multiply
    375.24x = 563.46 × 282.70
  4. Step 4: Simplify right side
    375.24x = 159,290.14
  5. Step 5: Solve for x
    x = 159,290.14/375.24
  6. Step 6: Final answer
    x = 424.50

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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.