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Finding the Fourth Proportional to 945.90, 1,418.84 and 296.64

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Solution

The fourth proportional to 945.90, 1,418.84 and 296.64 is: 444.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.90 : 1,418.84 = 296.64 : x
  2. Step 2: Convert to fraction form
    945.90/1,418.84 = 296.64/x
  3. Step 3: Cross multiply
    945.90x = 1,418.84 × 296.64
  4. Step 4: Simplify right side
    945.90x = 420,883.21
  5. Step 5: Solve for x
    x = 420,883.21/945.90
  6. Step 6: Final answer
    x = 444.96

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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.