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Finding the Fourth Proportional to 382.84, 528.79 and 377.08

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Solution

The fourth proportional to 382.84, 528.79 and 377.08 is: 520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.84 : 528.79 = 377.08 : x
  2. Step 2: Convert to fraction form
    382.84/528.79 = 377.08/x
  3. Step 3: Cross multiply
    382.84x = 528.79 × 377.08
  4. Step 4: Simplify right side
    382.84x = 199,393.49
  5. Step 5: Solve for x
    x = 199,393.49/382.84
  6. Step 6: Final answer
    x = 520.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.