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Finding the Fourth Proportional to 507.27, 699.80 and 367.16

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Solution

The fourth proportional to 507.27, 699.80 and 367.16 is: 506.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.27 : 699.80 = 367.16 : x
  2. Step 2: Convert to fraction form
    507.27/699.80 = 367.16/x
  3. Step 3: Cross multiply
    507.27x = 699.80 × 367.16
  4. Step 4: Simplify right side
    507.27x = 256,933.23
  5. Step 5: Solve for x
    x = 256,933.23/507.27
  6. Step 6: Final answer
    x = 506.50

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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.