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Finding the Fourth Proportional to 316.98, 474.77 and 213.77

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Solution

The fourth proportional to 316.98, 474.77 and 213.77 is: 320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.98 : 474.77 = 213.77 : x
  2. Step 2: Convert to fraction form
    316.98/474.77 = 213.77/x
  3. Step 3: Cross multiply
    316.98x = 474.77 × 213.77
  4. Step 4: Simplify right side
    316.98x = 101,493.30
  5. Step 5: Solve for x
    x = 101,493.30/316.98
  6. Step 6: Final answer
    x = 320.19

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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.