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Finding the Fourth Proportional to 945.40, 1,418.14 and 296.14

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Solution

The fourth proportional to 945.40, 1,418.14 and 296.14 is: 444.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.40 : 1,418.14 = 296.14 : x
  2. Step 2: Convert to fraction form
    945.40/1,418.14 = 296.14/x
  3. Step 3: Cross multiply
    945.40x = 1,418.14 × 296.14
  4. Step 4: Simplify right side
    945.40x = 419,967.98
  5. Step 5: Solve for x
    x = 419,967.98/945.40
  6. Step 6: Final answer
    x = 444.22

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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.