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Finding the Fourth Proportional to 385.08, 527.88 and 378.09

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Solution

The fourth proportional to 385.08, 527.88 and 378.09 is: 518.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.08 : 527.88 = 378.09 : x
  2. Step 2: Convert to fraction form
    385.08/527.88 = 378.09/x
  3. Step 3: Cross multiply
    385.08x = 527.88 × 378.09
  4. Step 4: Simplify right side
    385.08x = 199,587.46
  5. Step 5: Solve for x
    x = 199,587.46/385.08
  6. Step 6: Final answer
    x = 518.30

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.