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Finding the Fourth Proportional to 377.37, 566.82 and 291.12

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Solution

The fourth proportional to 377.37, 566.82 and 291.12 is: 437.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.37 : 566.82 = 291.12 : x
  2. Step 2: Convert to fraction form
    377.37/566.82 = 291.12/x
  3. Step 3: Cross multiply
    377.37x = 566.82 × 291.12
  4. Step 4: Simplify right side
    377.37x = 165,012.64
  5. Step 5: Solve for x
    x = 165,012.64/377.37
  6. Step 6: Final answer
    x = 437.27

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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.