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Finding the Fourth Proportional to 466.05, 698.47 and 192.33

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Solution

The fourth proportional to 466.05, 698.47 and 192.33 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.05 : 698.47 = 192.33 : x
  2. Step 2: Convert to fraction form
    466.05/698.47 = 192.33/x
  3. Step 3: Cross multiply
    466.05x = 698.47 × 192.33
  4. Step 4: Simplify right side
    466.05x = 134,337.83
  5. Step 5: Solve for x
    x = 134,337.83/466.05
  6. Step 6: Final answer
    x = 288.25

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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.