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Finding the Fourth Proportional to 472.53, 652.10 and 262.71

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Solution

The fourth proportional to 472.53, 652.10 and 262.71 is: 362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.53 : 652.10 = 262.71 : x
  2. Step 2: Convert to fraction form
    472.53/652.10 = 262.71/x
  3. Step 3: Cross multiply
    472.53x = 652.10 × 262.71
  4. Step 4: Simplify right side
    472.53x = 171,311.88
  5. Step 5: Solve for x
    x = 171,311.88/472.53
  6. Step 6: Final answer
    x = 362.54

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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.