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Finding the Fourth Proportional to 508.46, 762.54 and 274.16

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Solution

The fourth proportional to 508.46, 762.54 and 274.16 is: 411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.46 : 762.54 = 274.16 : x
  2. Step 2: Convert to fraction form
    508.46/762.54 = 274.16/x
  3. Step 3: Cross multiply
    508.46x = 762.54 × 274.16
  4. Step 4: Simplify right side
    508.46x = 209,057.97
  5. Step 5: Solve for x
    x = 209,057.97/508.46
  6. Step 6: Final answer
    x = 411.16

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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.