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Finding the Fourth Proportional to 414.16, 571.72 and 276.24

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Solution

The fourth proportional to 414.16, 571.72 and 276.24 is: 381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.16 : 571.72 = 276.24 : x
  2. Step 2: Convert to fraction form
    414.16/571.72 = 276.24/x
  3. Step 3: Cross multiply
    414.16x = 571.72 × 276.24
  4. Step 4: Simplify right side
    414.16x = 157,931.93
  5. Step 5: Solve for x
    x = 157,931.93/414.16
  6. Step 6: Final answer
    x = 381.33

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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.