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Finding the Fourth Proportional to 313.80, 469.88 and 216.60

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Solution

The fourth proportional to 313.80, 469.88 and 216.60 is: 324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.80 : 469.88 = 216.60 : x
  2. Step 2: Convert to fraction form
    313.80/469.88 = 216.60/x
  3. Step 3: Cross multiply
    313.80x = 469.88 × 216.60
  4. Step 4: Simplify right side
    313.80x = 101,773.66
  5. Step 5: Solve for x
    x = 101,773.66/313.80
  6. Step 6: Final answer
    x = 324.33

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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.