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Finding the Fourth Proportional to 507.12, 760.60 and 218.60

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Solution

The fourth proportional to 507.12, 760.60 and 218.60 is: 327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.12 : 760.60 = 218.60 : x
  2. Step 2: Convert to fraction form
    507.12/760.60 = 218.60/x
  3. Step 3: Cross multiply
    507.12x = 760.60 × 218.60
  4. Step 4: Simplify right side
    507.12x = 166,267.16
  5. Step 5: Solve for x
    x = 166,267.16/507.12
  6. Step 6: Final answer
    x = 327.87

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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.