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Finding the Fourth Proportional to 563.27, 843.84 and 288.68

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Solution

The fourth proportional to 563.27, 843.84 and 288.68 is: 432.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.27 : 843.84 = 288.68 : x
  2. Step 2: Convert to fraction form
    563.27/843.84 = 288.68/x
  3. Step 3: Cross multiply
    563.27x = 843.84 × 288.68
  4. Step 4: Simplify right side
    563.27x = 243,595.51
  5. Step 5: Solve for x
    x = 243,595.51/563.27
  6. Step 6: Final answer
    x = 432.47

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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.