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Finding the Fourth Proportional to 508.17, 762.27 and 398.38

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Solution

The fourth proportional to 508.17, 762.27 and 398.38 is: 597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.17 : 762.27 = 398.38 : x
  2. Step 2: Convert to fraction form
    508.17/762.27 = 398.38/x
  3. Step 3: Cross multiply
    508.17x = 762.27 × 398.38
  4. Step 4: Simplify right side
    508.17x = 303,673.12
  5. Step 5: Solve for x
    x = 303,673.12/508.17
  6. Step 6: Final answer
    x = 597.58

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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.