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Finding the Fourth Proportional to 377.68, 566.52 and 330.16

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Solution

The fourth proportional to 377.68, 566.52 and 330.16 is: 495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    377.68 : 566.52 = 330.16 : x
  2. Step 2: Convert to fraction form
    377.68/566.52 = 330.16/x
  3. Step 3: Cross multiply
    377.68x = 566.52 × 330.16
  4. Step 4: Simplify right side
    377.68x = 187,042.24
  5. Step 5: Solve for x
    x = 187,042.24/377.68
  6. Step 6: Final answer
    x = 495.24

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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.