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Finding the Fourth Proportional to 472.20, 651.60 and 262.36

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Solution

The fourth proportional to 472.20, 651.60 and 262.36 is: 362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.20 : 651.60 = 262.36 : x
  2. Step 2: Convert to fraction form
    472.20/651.60 = 262.36/x
  3. Step 3: Cross multiply
    472.20x = 651.60 × 262.36
  4. Step 4: Simplify right side
    472.20x = 170,955.57
  5. Step 5: Solve for x
    x = 170,955.57/472.20
  6. Step 6: Final answer
    x = 362.04

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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.