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Finding the Fourth Proportional to 563.06, 843.24 and 288.48

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Solution

The fourth proportional to 563.06, 843.24 and 288.48 is: 432.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.06 : 843.24 = 288.48 : x
  2. Step 2: Convert to fraction form
    563.06/843.24 = 288.48/x
  3. Step 3: Cross multiply
    563.06x = 843.24 × 288.48
  4. Step 4: Simplify right side
    563.06x = 243,257.88
  5. Step 5: Solve for x
    x = 243,257.88/563.06
  6. Step 6: Final answer
    x = 432.03

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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.