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Finding the Fourth Proportional to 471.14, 650.21 and 261.35

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Solution

The fourth proportional to 471.14, 650.21 and 261.35 is: 360.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.14 : 650.21 = 261.35 : x
  2. Step 2: Convert to fraction form
    471.14/650.21 = 261.35/x
  3. Step 3: Cross multiply
    471.14x = 650.21 × 261.35
  4. Step 4: Simplify right side
    471.14x = 169,931.08
  5. Step 5: Solve for x
    x = 169,931.08/471.14
  6. Step 6: Final answer
    x = 360.68

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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.