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Finding the Fourth Proportional to 380.84, 568.89 and 326.16

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Solution

The fourth proportional to 380.84, 568.89 and 326.16 is: 487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.84 : 568.89 = 326.16 : x
  2. Step 2: Convert to fraction form
    380.84/568.89 = 326.16/x
  3. Step 3: Cross multiply
    380.84x = 568.89 × 326.16
  4. Step 4: Simplify right side
    380.84x = 185,549.16
  5. Step 5: Solve for x
    x = 185,549.16/380.84
  6. Step 6: Final answer
    x = 487.22

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