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Finding the Fourth Proportional to 377.82, 566.52 and 285.18

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Solution

The fourth proportional to 377.82, 566.52 and 285.18 is: 427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.82 : 566.52 = 285.18 : x
  2. Step 2: Convert to fraction form
    377.82/566.52 = 285.18/x
  3. Step 3: Cross multiply
    377.82x = 566.52 × 285.18
  4. Step 4: Simplify right side
    377.82x = 161,560.17
  5. Step 5: Solve for x
    x = 161,560.17/377.82
  6. Step 6: Final answer
    x = 427.61

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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.