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Finding the Fourth Proportional to 563.32, 843.38 and 368.54

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Solution

The fourth proportional to 563.32, 843.38 and 368.54 is: 551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.32 : 843.38 = 368.54 : x
  2. Step 2: Convert to fraction form
    563.32/843.38 = 368.54/x
  3. Step 3: Cross multiply
    563.32x = 843.38 × 368.54
  4. Step 4: Simplify right side
    563.32x = 310,819.27
  5. Step 5: Solve for x
    x = 310,819.27/563.32
  6. Step 6: Final answer
    x = 551.76

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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.