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Finding the Fourth Proportional to 660.94, 991.64 and 442.44

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Solution

The fourth proportional to 660.94, 991.64 and 442.44 is: 663.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.94 : 991.64 = 442.44 : x
  2. Step 2: Convert to fraction form
    660.94/991.64 = 442.44/x
  3. Step 3: Cross multiply
    660.94x = 991.64 × 442.44
  4. Step 4: Simplify right side
    660.94x = 438,741.20
  5. Step 5: Solve for x
    x = 438,741.20/660.94
  6. Step 6: Final answer
    x = 663.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.