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Finding the Fourth Proportional to 945.35, 1,418.22 and 296.09

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Solution

The fourth proportional to 945.35, 1,418.22 and 296.09 is: 444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.35 : 1,418.22 = 296.09 : x
  2. Step 2: Convert to fraction form
    945.35/1,418.22 = 296.09/x
  3. Step 3: Cross multiply
    945.35x = 1,418.22 × 296.09
  4. Step 4: Simplify right side
    945.35x = 419,920.76
  5. Step 5: Solve for x
    x = 419,920.76/945.35
  6. Step 6: Final answer
    x = 444.20

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Why These Related Problems?

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