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Finding the Fourth Proportional to 442.02, 610.29 and 330.24

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Solution

The fourth proportional to 442.02, 610.29 and 330.24 is: 455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.02 : 610.29 = 330.24 : x
  2. Step 2: Convert to fraction form
    442.02/610.29 = 330.24/x
  3. Step 3: Cross multiply
    442.02x = 610.29 × 330.24
  4. Step 4: Simplify right side
    442.02x = 201,542.17
  5. Step 5: Solve for x
    x = 201,542.17/442.02
  6. Step 6: Final answer
    x = 455.96

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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.