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Finding the Fourth Proportional to 472.43, 652.11 and 341.51

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Solution

The fourth proportional to 472.43, 652.11 and 341.51 is: 471.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.43 : 652.11 = 341.51 : x
  2. Step 2: Convert to fraction form
    472.43/652.11 = 341.51/x
  3. Step 3: Cross multiply
    472.43x = 652.11 × 341.51
  4. Step 4: Simplify right side
    472.43x = 222,698.83
  5. Step 5: Solve for x
    x = 222,698.83/472.43
  6. Step 6: Final answer
    x = 471.40

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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.