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Finding the Fourth Proportional to 302.76, 451.77 and 272.12

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Solution

The fourth proportional to 302.76, 451.77 and 272.12 is: 406.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.76 : 451.77 = 272.12 : x
  2. Step 2: Convert to fraction form
    302.76/451.77 = 272.12/x
  3. Step 3: Cross multiply
    302.76x = 451.77 × 272.12
  4. Step 4: Simplify right side
    302.76x = 122,933.39
  5. Step 5: Solve for x
    x = 122,933.39/302.76
  6. Step 6: Final answer
    x = 406.04

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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.