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Finding the Fourth Proportional to 416.28, 573.71 and 276.15

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Solution

The fourth proportional to 416.28, 573.71 and 276.15 is: 380.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.28 : 573.71 = 276.15 : x
  2. Step 2: Convert to fraction form
    416.28/573.71 = 276.15/x
  3. Step 3: Cross multiply
    416.28x = 573.71 × 276.15
  4. Step 4: Simplify right side
    416.28x = 158,428.64
  5. Step 5: Solve for x
    x = 158,428.64/416.28
  6. Step 6: Final answer
    x = 380.58

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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.