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Finding the Fourth Proportional to 414.12, 571.56 and 266.80

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Solution

The fourth proportional to 414.12, 571.56 and 266.80 is: 368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.12 : 571.56 = 266.80 : x
  2. Step 2: Convert to fraction form
    414.12/571.56 = 266.80/x
  3. Step 3: Cross multiply
    414.12x = 571.56 × 266.80
  4. Step 4: Simplify right side
    414.12x = 152,492.21
  5. Step 5: Solve for x
    x = 152,492.21/414.12
  6. Step 6: Final answer
    x = 368.23

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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.