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Finding the Fourth Proportional to 945.54, 1,418.26 and 296.20

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Solution

The fourth proportional to 945.54, 1,418.26 and 296.20 is: 444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.54 : 1,418.26 = 296.20 : x
  2. Step 2: Convert to fraction form
    945.54/1,418.26 = 296.20/x
  3. Step 3: Cross multiply
    945.54x = 1,418.26 × 296.20
  4. Step 4: Simplify right side
    945.54x = 420,088.61
  5. Step 5: Solve for x
    x = 420,088.61/945.54
  6. Step 6: Final answer
    x = 444.28

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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.