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Finding the Fourth Proportional to 518.96, 779.65 and 478.86

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Solution

The fourth proportional to 518.96, 779.65 and 478.86 is: 719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.96 : 779.65 = 478.86 : x
  2. Step 2: Convert to fraction form
    518.96/779.65 = 478.86/x
  3. Step 3: Cross multiply
    518.96x = 779.65 × 478.86
  4. Step 4: Simplify right side
    518.96x = 373,343.20
  5. Step 5: Solve for x
    x = 373,343.20/518.96
  6. Step 6: Final answer
    x = 719.41

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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.