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Finding the Fourth Proportional to 380.16, 567.89 and 322.11

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Solution

The fourth proportional to 380.16, 567.89 and 322.11 is: 481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 567.89 = 322.11 : x
  2. Step 2: Convert to fraction form
    380.16/567.89 = 322.11/x
  3. Step 3: Cross multiply
    380.16x = 567.89 × 322.11
  4. Step 4: Simplify right side
    380.16x = 182,923.05
  5. Step 5: Solve for x
    x = 182,923.05/380.16
  6. Step 6: Final answer
    x = 481.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.