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Finding the Fourth Proportional to 442.76, 610.40 and 363.78

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Solution

The fourth proportional to 442.76, 610.40 and 363.78 is: 501.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.76 : 610.40 = 363.78 : x
  2. Step 2: Convert to fraction form
    442.76/610.40 = 363.78/x
  3. Step 3: Cross multiply
    442.76x = 610.40 × 363.78
  4. Step 4: Simplify right side
    442.76x = 222,051.31
  5. Step 5: Solve for x
    x = 222,051.31/442.76
  6. Step 6: Final answer
    x = 501.52

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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.