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Finding the Fourth Proportional to 508.63, 762.49 and 183.92

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Solution

The fourth proportional to 508.63, 762.49 and 183.92 is: 275.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.63 : 762.49 = 183.92 : x
  2. Step 2: Convert to fraction form
    508.63/762.49 = 183.92/x
  3. Step 3: Cross multiply
    508.63x = 762.49 × 183.92
  4. Step 4: Simplify right side
    508.63x = 140,236.24
  5. Step 5: Solve for x
    x = 140,236.24/508.63
  6. Step 6: Final answer
    x = 275.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.