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Finding the Fourth Proportional to 443.52, 611.94 and 284.06

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Solution

The fourth proportional to 443.52, 611.94 and 284.06 is: 391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.52 : 611.94 = 284.06 : x
  2. Step 2: Convert to fraction form
    443.52/611.94 = 284.06/x
  3. Step 3: Cross multiply
    443.52x = 611.94 × 284.06
  4. Step 4: Simplify right side
    443.52x = 173,827.68
  5. Step 5: Solve for x
    x = 173,827.68/443.52
  6. Step 6: Final answer
    x = 391.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.