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Finding the Fourth Proportional to 471.06, 650.08 and 261.24

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Solution

The fourth proportional to 471.06, 650.08 and 261.24 is: 360.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 650.08 = 261.24 : x
  2. Step 2: Convert to fraction form
    471.06/650.08 = 261.24/x
  3. Step 3: Cross multiply
    471.06x = 650.08 × 261.24
  4. Step 4: Simplify right side
    471.06x = 169,826.90
  5. Step 5: Solve for x
    x = 169,826.90/471.06
  6. Step 6: Final answer
    x = 360.52

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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.