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Finding the Fourth Proportional to 462.66, 693.81 and 219.30

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Solution

The fourth proportional to 462.66, 693.81 and 219.30 is: 328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.66 : 693.81 = 219.30 : x
  2. Step 2: Convert to fraction form
    462.66/693.81 = 219.30/x
  3. Step 3: Cross multiply
    462.66x = 693.81 × 219.30
  4. Step 4: Simplify right side
    462.66x = 152,152.53
  5. Step 5: Solve for x
    x = 152,152.53/462.66
  6. Step 6: Final answer
    x = 328.86

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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.