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Finding the Fourth Proportional to 563.10, 843.72 and 346.23

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Solution

The fourth proportional to 563.10, 843.72 and 346.23 is: 518.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.10 : 843.72 = 346.23 : x
  2. Step 2: Convert to fraction form
    563.10/843.72 = 346.23/x
  3. Step 3: Cross multiply
    563.10x = 843.72 × 346.23
  4. Step 4: Simplify right side
    563.10x = 292,121.18
  5. Step 5: Solve for x
    x = 292,121.18/563.10
  6. Step 6: Final answer
    x = 518.77

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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.