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Finding the Fourth Proportional to 442.82, 610.69 and 393.05

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Solution

The fourth proportional to 442.82, 610.69 and 393.05 is: 542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.82 : 610.69 = 393.05 : x
  2. Step 2: Convert to fraction form
    442.82/610.69 = 393.05/x
  3. Step 3: Cross multiply
    442.82x = 610.69 × 393.05
  4. Step 4: Simplify right side
    442.82x = 240,032.99
  5. Step 5: Solve for x
    x = 240,032.99/442.82
  6. Step 6: Final answer
    x = 542.06

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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.