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Finding the Fourth Proportional to 472.38, 651.85 and 285.97

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Solution

The fourth proportional to 472.38, 651.85 and 285.97 is: 394.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.38 : 651.85 = 285.97 : x
  2. Step 2: Convert to fraction form
    472.38/651.85 = 285.97/x
  3. Step 3: Cross multiply
    472.38x = 651.85 × 285.97
  4. Step 4: Simplify right side
    472.38x = 186,408.83
  5. Step 5: Solve for x
    x = 186,408.83/472.38
  6. Step 6: Final answer
    x = 394.62

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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.