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Finding the Fourth Proportional to 466, 698.43 and 328.30

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Solution

The fourth proportional to 466, 698.43 and 328.30 is: 492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    466 : 698.43 = 328.30 : x
  2. Step 2: Convert to fraction form
    466/698.43 = 328.30/x
  3. Step 3: Cross multiply
    466x = 698.43 × 328.30
  4. Step 4: Simplify right side
    466x = 229,294.57
  5. Step 5: Solve for x
    x = 229,294.57/466
  6. Step 6: Final answer
    x = 492.05

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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.