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Finding the Fourth Proportional to 308.56, 461.91 and 283.66

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Solution

The fourth proportional to 308.56, 461.91 and 283.66 is: 424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.56 : 461.91 = 283.66 : x
  2. Step 2: Convert to fraction form
    308.56/461.91 = 283.66/x
  3. Step 3: Cross multiply
    308.56x = 461.91 × 283.66
  4. Step 4: Simplify right side
    308.56x = 131,025.39
  5. Step 5: Solve for x
    x = 131,025.39/308.56
  6. Step 6: Final answer
    x = 424.64

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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.