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Finding the Fourth Proportional to 443.08, 611.34 and 285.76

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Solution

The fourth proportional to 443.08, 611.34 and 285.76 is: 394.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.08 : 611.34 = 285.76 : x
  2. Step 2: Convert to fraction form
    443.08/611.34 = 285.76/x
  3. Step 3: Cross multiply
    443.08x = 611.34 × 285.76
  4. Step 4: Simplify right side
    443.08x = 174,696.52
  5. Step 5: Solve for x
    x = 174,696.52/443.08
  6. Step 6: Final answer
    x = 394.28

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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.