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Finding the Fourth Proportional to 507.67, 761.58 and 182.97

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Solution

The fourth proportional to 507.67, 761.58 and 182.97 is: 274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.67 : 761.58 = 182.97 : x
  2. Step 2: Convert to fraction form
    507.67/761.58 = 182.97/x
  3. Step 3: Cross multiply
    507.67x = 761.58 × 182.97
  4. Step 4: Simplify right side
    507.67x = 139,346.29
  5. Step 5: Solve for x
    x = 139,346.29/507.67
  6. Step 6: Final answer
    x = 274.48

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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.