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Finding the Fourth Proportional to 296.52, 444.90 and 277.44

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Solution

The fourth proportional to 296.52, 444.90 and 277.44 is: 416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.52 : 444.90 = 277.44 : x
  2. Step 2: Convert to fraction form
    296.52/444.90 = 277.44/x
  3. Step 3: Cross multiply
    296.52x = 444.90 × 277.44
  4. Step 4: Simplify right side
    296.52x = 123,433.06
  5. Step 5: Solve for x
    x = 123,433.06/296.52
  6. Step 6: Final answer
    x = 416.27

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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.