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Finding the Fourth Proportional to 381.51, 568.32 and 368.18

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Solution

The fourth proportional to 381.51, 568.32 and 368.18 is: 548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.51 : 568.32 = 368.18 : x
  2. Step 2: Convert to fraction form
    381.51/568.32 = 368.18/x
  3. Step 3: Cross multiply
    381.51x = 568.32 × 368.18
  4. Step 4: Simplify right side
    381.51x = 209,241.97
  5. Step 5: Solve for x
    x = 209,241.97/381.51
  6. Step 6: Final answer
    x = 548.46

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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.