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Finding the Fourth Proportional to 507.37, 760.77 and 198.86

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Solution

The fourth proportional to 507.37, 760.77 and 198.86 is: 298.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.37 : 760.77 = 198.86 : x
  2. Step 2: Convert to fraction form
    507.37/760.77 = 198.86/x
  3. Step 3: Cross multiply
    507.37x = 760.77 × 198.86
  4. Step 4: Simplify right side
    507.37x = 151,287.63
  5. Step 5: Solve for x
    x = 151,287.63/507.37
  6. Step 6: Final answer
    x = 298.18

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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.