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Finding the Fourth Proportional to 306.16, 456.87 and 273.30

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Solution

The fourth proportional to 306.16, 456.87 and 273.30 is: 407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.16 : 456.87 = 273.30 : x
  2. Step 2: Convert to fraction form
    306.16/456.87 = 273.30/x
  3. Step 3: Cross multiply
    306.16x = 456.87 × 273.30
  4. Step 4: Simplify right side
    306.16x = 124,865.25
  5. Step 5: Solve for x
    x = 124,865.25/306.16
  6. Step 6: Final answer
    x = 407.85

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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.