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Finding the Fourth Proportional to 466.48, 698.82 and 322.30

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Solution

The fourth proportional to 466.48, 698.82 and 322.30 is: 482.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.48 : 698.82 = 322.30 : x
  2. Step 2: Convert to fraction form
    466.48/698.82 = 322.30/x
  3. Step 3: Cross multiply
    466.48x = 698.82 × 322.30
  4. Step 4: Simplify right side
    466.48x = 225,229.69
  5. Step 5: Solve for x
    x = 225,229.69/466.48
  6. Step 6: Final answer
    x = 482.83

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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.