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Finding the Fourth Proportional to 306.99, 460.13 and 215.19

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Solution

The fourth proportional to 306.99, 460.13 and 215.19 is: 322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.99 : 460.13 = 215.19 : x
  2. Step 2: Convert to fraction form
    306.99/460.13 = 215.19/x
  3. Step 3: Cross multiply
    306.99x = 460.13 × 215.19
  4. Step 4: Simplify right side
    306.99x = 99,014.30
  5. Step 5: Solve for x
    x = 99,014.30/306.99
  6. Step 6: Final answer
    x = 322.53

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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.