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Finding the Fourth Proportional to 472.65, 652.19 and 262.81

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Solution

The fourth proportional to 472.65, 652.19 and 262.81 is: 362.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.65 : 652.19 = 262.81 : x
  2. Step 2: Convert to fraction form
    472.65/652.19 = 262.81/x
  3. Step 3: Cross multiply
    472.65x = 652.19 × 262.81
  4. Step 4: Simplify right side
    472.65x = 171,401.56
  5. Step 5: Solve for x
    x = 171,401.56/472.65
  6. Step 6: Final answer
    x = 362.64

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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.