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Finding the Fourth Proportional to 518.74, 776.78 and 287.37

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Solution

The fourth proportional to 518.74, 776.78 and 287.37 is: 430.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.74 : 776.78 = 287.37 : x
  2. Step 2: Convert to fraction form
    518.74/776.78 = 287.37/x
  3. Step 3: Cross multiply
    518.74x = 776.78 × 287.37
  4. Step 4: Simplify right side
    518.74x = 223,223.27
  5. Step 5: Solve for x
    x = 223,223.27/518.74
  6. Step 6: Final answer
    x = 430.32

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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.