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Finding the Fourth Proportional to 296.26, 445.47 and 284.38

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Solution

The fourth proportional to 296.26, 445.47 and 284.38 is: 427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.26 : 445.47 = 284.38 : x
  2. Step 2: Convert to fraction form
    296.26/445.47 = 284.38/x
  3. Step 3: Cross multiply
    296.26x = 445.47 × 284.38
  4. Step 4: Simplify right side
    296.26x = 126,682.76
  5. Step 5: Solve for x
    x = 126,682.76/296.26
  6. Step 6: Final answer
    x = 427.61

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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.