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Finding the Fourth Proportional to 471.47, 650.61 and 261.65

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Solution

The fourth proportional to 471.47, 650.61 and 261.65 is: 361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.47 : 650.61 = 261.65 : x
  2. Step 2: Convert to fraction form
    471.47/650.61 = 261.65/x
  3. Step 3: Cross multiply
    471.47x = 650.61 × 261.65
  4. Step 4: Simplify right side
    471.47x = 170,232.11
  5. Step 5: Solve for x
    x = 170,232.11/471.47
  6. Step 6: Final answer
    x = 361.07

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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.