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Finding the Fourth Proportional to 471.57, 651.83 and 341.70

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Solution

The fourth proportional to 471.57, 651.83 and 341.70 is: 472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.57 : 651.83 = 341.70 : x
  2. Step 2: Convert to fraction form
    471.57/651.83 = 341.70/x
  3. Step 3: Cross multiply
    471.57x = 651.83 × 341.70
  4. Step 4: Simplify right side
    471.57x = 222,728.60
  5. Step 5: Solve for x
    x = 222,728.60/471.57
  6. Step 6: Final answer
    x = 472.31

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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.