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Finding the Fourth Proportional to 518.72, 776.96 and 478.40

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Solution

The fourth proportional to 518.72, 776.96 and 478.40 is: 716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.72 : 776.96 = 478.40 : x
  2. Step 2: Convert to fraction form
    518.72/776.96 = 478.40/x
  3. Step 3: Cross multiply
    518.72x = 776.96 × 478.40
  4. Step 4: Simplify right side
    518.72x = 371,697.66
  5. Step 5: Solve for x
    x = 371,697.66/518.72
  6. Step 6: Final answer
    x = 716.57

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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.