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Finding the Fourth Proportional to 507.40, 760.68 and 199.18

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Solution

The fourth proportional to 507.40, 760.68 and 199.18 is: 298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.40 : 760.68 = 199.18 : x
  2. Step 2: Convert to fraction form
    507.40/760.68 = 199.18/x
  3. Step 3: Cross multiply
    507.40x = 760.68 × 199.18
  4. Step 4: Simplify right side
    507.40x = 151,512.24
  5. Step 5: Solve for x
    x = 151,512.24/507.40
  6. Step 6: Final answer
    x = 298.61

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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.