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Finding the Fourth Proportional to 469.11, 647.10 and 344.55

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Solution

The fourth proportional to 469.11, 647.10 and 344.55 is: 475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.11 : 647.10 = 344.55 : x
  2. Step 2: Convert to fraction form
    469.11/647.10 = 344.55/x
  3. Step 3: Cross multiply
    469.11x = 647.10 × 344.55
  4. Step 4: Simplify right side
    469.11x = 222,958.31
  5. Step 5: Solve for x
    x = 222,958.31/469.11
  6. Step 6: Final answer
    x = 475.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.