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Finding the Fourth Proportional to 443.48, 611.96 and 286.34

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Solution

The fourth proportional to 443.48, 611.96 and 286.34 is: 395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.48 : 611.96 = 286.34 : x
  2. Step 2: Convert to fraction form
    443.48/611.96 = 286.34/x
  3. Step 3: Cross multiply
    443.48x = 611.96 × 286.34
  4. Step 4: Simplify right side
    443.48x = 175,224.13
  5. Step 5: Solve for x
    x = 175,224.13/443.48
  6. Step 6: Final answer
    x = 395.12

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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.