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Finding the Fourth Proportional to 945.92, 1,418.96 and 296.66

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Solution

The fourth proportional to 945.92, 1,418.96 and 296.66 is: 445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.92 : 1,418.96 = 296.66 : x
  2. Step 2: Convert to fraction form
    945.92/1,418.96 = 296.66/x
  3. Step 3: Cross multiply
    945.92x = 1,418.96 × 296.66
  4. Step 4: Simplify right side
    945.92x = 420,941.58
  5. Step 5: Solve for x
    x = 420,941.58/945.92
  6. Step 6: Final answer
    x = 445.01

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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.