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Finding the Fourth Proportional to 367.15, 507.09 and 268.01

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Solution

The fourth proportional to 367.15, 507.09 and 268.01 is: 370.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.15 : 507.09 = 268.01 : x
  2. Step 2: Convert to fraction form
    367.15/507.09 = 268.01/x
  3. Step 3: Cross multiply
    367.15x = 507.09 × 268.01
  4. Step 4: Simplify right side
    367.15x = 135,905.19
  5. Step 5: Solve for x
    x = 135,905.19/367.15
  6. Step 6: Final answer
    x = 370.16

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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.