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Finding the Fourth Proportional to 376.32, 564.68 and 203.11

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Solution

The fourth proportional to 376.32, 564.68 and 203.11 is: 304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.32 : 564.68 = 203.11 : x
  2. Step 2: Convert to fraction form
    376.32/564.68 = 203.11/x
  3. Step 3: Cross multiply
    376.32x = 564.68 × 203.11
  4. Step 4: Simplify right side
    376.32x = 114,692.15
  5. Step 5: Solve for x
    x = 114,692.15/376.32
  6. Step 6: Final answer
    x = 304.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.