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Finding the Fourth Proportional to 442.20, 608.82 and 342.36

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Solution

The fourth proportional to 442.20, 608.82 and 342.36 is: 471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.20 : 608.82 = 342.36 : x
  2. Step 2: Convert to fraction form
    442.20/608.82 = 342.36/x
  3. Step 3: Cross multiply
    442.20x = 608.82 × 342.36
  4. Step 4: Simplify right side
    442.20x = 208,435.62
  5. Step 5: Solve for x
    x = 208,435.62/442.20
  6. Step 6: Final answer
    x = 471.36

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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.