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Finding the Fourth Proportional to 296.76, 446.22 and 284.88

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Solution

The fourth proportional to 296.76, 446.22 and 284.88 is: 428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.76 : 446.22 = 284.88 : x
  2. Step 2: Convert to fraction form
    296.76/446.22 = 284.88/x
  3. Step 3: Cross multiply
    296.76x = 446.22 × 284.88
  4. Step 4: Simplify right side
    296.76x = 127,119.15
  5. Step 5: Solve for x
    x = 127,119.15/296.76
  6. Step 6: Final answer
    x = 428.36

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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.