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Finding the Fourth Proportional to 563.08, 843.66 and 346.22

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Solution

The fourth proportional to 563.08, 843.66 and 346.22 is: 518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.08 : 843.66 = 346.22 : x
  2. Step 2: Convert to fraction form
    563.08/843.66 = 346.22/x
  3. Step 3: Cross multiply
    563.08x = 843.66 × 346.22
  4. Step 4: Simplify right side
    563.08x = 292,091.97
  5. Step 5: Solve for x
    x = 292,091.97/563.08
  6. Step 6: Final answer
    x = 518.74

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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.