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Finding the Fourth Proportional to 377.12, 566.33 and 224.01

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Solution

The fourth proportional to 377.12, 566.33 and 224.01 is: 336.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.12 : 566.33 = 224.01 : x
  2. Step 2: Convert to fraction form
    377.12/566.33 = 224.01/x
  3. Step 3: Cross multiply
    377.12x = 566.33 × 224.01
  4. Step 4: Simplify right side
    377.12x = 126,861.82
  5. Step 5: Solve for x
    x = 126,861.82/377.12
  6. Step 6: Final answer
    x = 336.40

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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.