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Finding the Fourth Proportional to 414.29, 571.73 and 266.99

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Solution

The fourth proportional to 414.29, 571.73 and 266.99 is: 368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.29 : 571.73 = 266.99 : x
  2. Step 2: Convert to fraction form
    414.29/571.73 = 266.99/x
  3. Step 3: Cross multiply
    414.29x = 571.73 × 266.99
  4. Step 4: Simplify right side
    414.29x = 152,642.00
  5. Step 5: Solve for x
    x = 152,642.00/414.29
  6. Step 6: Final answer
    x = 368.45

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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.