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Finding the Fourth Proportional to 296.82, 444.30 and 253.08

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Solution

The fourth proportional to 296.82, 444.30 and 253.08 is: 378.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.82 : 444.30 = 253.08 : x
  2. Step 2: Convert to fraction form
    296.82/444.30 = 253.08/x
  3. Step 3: Cross multiply
    296.82x = 444.30 × 253.08
  4. Step 4: Simplify right side
    296.82x = 112,443.44
  5. Step 5: Solve for x
    x = 112,443.44/296.82
  6. Step 6: Final answer
    x = 378.83

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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.