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Finding the Fourth Proportional to 472.79, 652.43 and 262.97

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Solution

The fourth proportional to 472.79, 652.43 and 262.97 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.79 : 652.43 = 262.97 : x
  2. Step 2: Convert to fraction form
    472.79/652.43 = 262.97/x
  3. Step 3: Cross multiply
    472.79x = 652.43 × 262.97
  4. Step 4: Simplify right side
    472.79x = 171,564.94
  5. Step 5: Solve for x
    x = 171,564.94/472.79
  6. Step 6: Final answer
    x = 362.88

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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.