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Finding the Fourth Proportional to 296.46, 444.29 and 205.34

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Solution

The fourth proportional to 296.46, 444.29 and 205.34 is: 307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.46 : 444.29 = 205.34 : x
  2. Step 2: Convert to fraction form
    296.46/444.29 = 205.34/x
  3. Step 3: Cross multiply
    296.46x = 444.29 × 205.34
  4. Step 4: Simplify right side
    296.46x = 91,227.26
  5. Step 5: Solve for x
    x = 91,227.26/296.46
  6. Step 6: Final answer
    x = 307.72

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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.