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Finding the Fourth Proportional to 507.05, 760.51 and 218.45

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Solution

The fourth proportional to 507.05, 760.51 and 218.45 is: 327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.05 : 760.51 = 218.45 : x
  2. Step 2: Convert to fraction form
    507.05/760.51 = 218.45/x
  3. Step 3: Cross multiply
    507.05x = 760.51 × 218.45
  4. Step 4: Simplify right side
    507.05x = 166,133.41
  5. Step 5: Solve for x
    x = 166,133.41/507.05
  6. Step 6: Final answer
    x = 327.65

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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.