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Finding the Fourth Proportional to 471.17, 706.67 and 266.14

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Solution

The fourth proportional to 471.17, 706.67 and 266.14 is: 399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.17 : 706.67 = 266.14 : x
  2. Step 2: Convert to fraction form
    471.17/706.67 = 266.14/x
  3. Step 3: Cross multiply
    471.17x = 706.67 × 266.14
  4. Step 4: Simplify right side
    471.17x = 188,073.15
  5. Step 5: Solve for x
    x = 188,073.15/471.17
  6. Step 6: Final answer
    x = 399.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.