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Finding the Fourth Proportional to 442.04, 660.01 and 380.44

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Solution

The fourth proportional to 442.04, 660.01 and 380.44 is: 568.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.04 : 660.01 = 380.44 : x
  2. Step 2: Convert to fraction form
    442.04/660.01 = 380.44/x
  3. Step 3: Cross multiply
    442.04x = 660.01 × 380.44
  4. Step 4: Simplify right side
    442.04x = 251,094.20
  5. Step 5: Solve for x
    x = 251,094.20/442.04
  6. Step 6: Final answer
    x = 568.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.