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Finding the Fourth Proportional to 466.41, 698.22 and 283.26

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Solution

The fourth proportional to 466.41, 698.22 and 283.26 is: 424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.41 : 698.22 = 283.26 : x
  2. Step 2: Convert to fraction form
    466.41/698.22 = 283.26/x
  3. Step 3: Cross multiply
    466.41x = 698.22 × 283.26
  4. Step 4: Simplify right side
    466.41x = 197,777.80
  5. Step 5: Solve for x
    x = 197,777.80/466.41
  6. Step 6: Final answer
    x = 424.04

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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.