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Finding the Fourth Proportional to 385.94, 532.08 and 330.44

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Solution

The fourth proportional to 385.94, 532.08 and 330.44 is: 455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.94 : 532.08 = 330.44 : x
  2. Step 2: Convert to fraction form
    385.94/532.08 = 330.44/x
  3. Step 3: Cross multiply
    385.94x = 532.08 × 330.44
  4. Step 4: Simplify right side
    385.94x = 175,820.52
  5. Step 5: Solve for x
    x = 175,820.52/385.94
  6. Step 6: Final answer
    x = 455.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.