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Finding the Fourth Proportional to 330.50, 455.70 and 213.86

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Solution

The fourth proportional to 330.50, 455.70 and 213.86 is: 294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.50 : 455.70 = 213.86 : x
  2. Step 2: Convert to fraction form
    330.50/455.70 = 213.86/x
  3. Step 3: Cross multiply
    330.50x = 455.70 × 213.86
  4. Step 4: Simplify right side
    330.50x = 97,456.00
  5. Step 5: Solve for x
    x = 97,456.00/330.50
  6. Step 6: Final answer
    x = 294.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.