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Finding the Fourth Proportional to 472.70, 652.33 and 262.90

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Solution

The fourth proportional to 472.70, 652.33 and 262.90 is: 362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.70 : 652.33 = 262.90 : x
  2. Step 2: Convert to fraction form
    472.70/652.33 = 262.90/x
  3. Step 3: Cross multiply
    472.70x = 652.33 × 262.90
  4. Step 4: Simplify right side
    472.70x = 171,496.25
  5. Step 5: Solve for x
    x = 171,496.25/472.70
  6. Step 6: Final answer
    x = 362.80

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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.