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Finding the Fourth Proportional to 507.52, 761.22 and 199.60

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Solution

The fourth proportional to 507.52, 761.22 and 199.60 is: 299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.52 : 761.22 = 199.60 : x
  2. Step 2: Convert to fraction form
    507.52/761.22 = 199.60/x
  3. Step 3: Cross multiply
    507.52x = 761.22 × 199.60
  4. Step 4: Simplify right side
    507.52x = 151,939.51
  5. Step 5: Solve for x
    x = 151,939.51/507.52
  6. Step 6: Final answer
    x = 299.38

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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.