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Finding the Fourth Proportional to 472.14, 650.97 and 341.10

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Solution

The fourth proportional to 472.14, 650.97 and 341.10 is: 470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 650.97 = 341.10 : x
  2. Step 2: Convert to fraction form
    472.14/650.97 = 341.10/x
  3. Step 3: Cross multiply
    472.14x = 650.97 × 341.10
  4. Step 4: Simplify right side
    472.14x = 222,045.87
  5. Step 5: Solve for x
    x = 222,045.87/472.14
  6. Step 6: Final answer
    x = 470.30

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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.