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Finding the Fourth Proportional to 367.11, 507.14 and 285.27

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Solution

The fourth proportional to 367.11, 507.14 and 285.27 is: 394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.11 : 507.14 = 285.27 : x
  2. Step 2: Convert to fraction form
    367.11/507.14 = 285.27/x
  3. Step 3: Cross multiply
    367.11x = 507.14 × 285.27
  4. Step 4: Simplify right side
    367.11x = 144,670.40
  5. Step 5: Solve for x
    x = 144,670.40/367.11
  6. Step 6: Final answer
    x = 394.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.