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Finding the Fourth Proportional to 306.99, 458.06 and 272.16

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Solution

The fourth proportional to 306.99, 458.06 and 272.16 is: 406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.99 : 458.06 = 272.16 : x
  2. Step 2: Convert to fraction form
    306.99/458.06 = 272.16/x
  3. Step 3: Cross multiply
    306.99x = 458.06 × 272.16
  4. Step 4: Simplify right side
    306.99x = 124,664.25
  5. Step 5: Solve for x
    x = 124,664.25/306.99
  6. Step 6: Final answer
    x = 406.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.