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Finding the Fourth Proportional to 466, 698.64 and 192.08

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Solution

The fourth proportional to 466, 698.64 and 192.08 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    466 : 698.64 = 192.08 : x
  2. Step 2: Convert to fraction form
    466/698.64 = 192.08/x
  3. Step 3: Cross multiply
    466x = 698.64 × 192.08
  4. Step 4: Simplify right side
    466x = 134,194.77
  5. Step 5: Solve for x
    x = 134,194.77/466
  6. Step 6: Final answer
    x = 287.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.