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Finding the Fourth Proportional to 442.42, 609.96 and 380.91

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Solution

The fourth proportional to 442.42, 609.96 and 380.91 is: 525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.42 : 609.96 = 380.91 : x
  2. Step 2: Convert to fraction form
    442.42/609.96 = 380.91/x
  3. Step 3: Cross multiply
    442.42x = 609.96 × 380.91
  4. Step 4: Simplify right side
    442.42x = 232,339.86
  5. Step 5: Solve for x
    x = 232,339.86/442.42
  6. Step 6: Final answer
    x = 525.16

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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.