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Finding the Fourth Proportional to 662.13, 914.46 and 442.02

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Solution

The fourth proportional to 662.13, 914.46 and 442.02 is: 610.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.13 : 914.46 = 442.02 : x
  2. Step 2: Convert to fraction form
    662.13/914.46 = 442.02/x
  3. Step 3: Cross multiply
    662.13x = 914.46 × 442.02
  4. Step 4: Simplify right side
    662.13x = 404,209.61
  5. Step 5: Solve for x
    x = 404,209.61/662.13
  6. Step 6: Final answer
    x = 610.47

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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.