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Finding the Fourth Proportional to 302.76, 415.17 and 287.64

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Solution

The fourth proportional to 302.76, 415.17 and 287.64 is: 394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.76 : 415.17 = 287.64 : x
  2. Step 2: Convert to fraction form
    302.76/415.17 = 287.64/x
  3. Step 3: Cross multiply
    302.76x = 415.17 × 287.64
  4. Step 4: Simplify right side
    302.76x = 119,419.50
  5. Step 5: Solve for x
    x = 119,419.50/302.76
  6. Step 6: Final answer
    x = 394.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.