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Finding the Fourth Proportional to 416.28, 574.20 and 305.76

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Solution

The fourth proportional to 416.28, 574.20 and 305.76 is: 421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.28 : 574.20 = 305.76 : x
  2. Step 2: Convert to fraction form
    416.28/574.20 = 305.76/x
  3. Step 3: Cross multiply
    416.28x = 574.20 × 305.76
  4. Step 4: Simplify right side
    416.28x = 175,567.39
  5. Step 5: Solve for x
    x = 175,567.39/416.28
  6. Step 6: Final answer
    x = 421.75

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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.