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Finding the Fourth Proportional to 518.90, 778.16 and 210.68

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Solution

The fourth proportional to 518.90, 778.16 and 210.68 is: 315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.90 : 778.16 = 210.68 : x
  2. Step 2: Convert to fraction form
    518.90/778.16 = 210.68/x
  3. Step 3: Cross multiply
    518.90x = 778.16 × 210.68
  4. Step 4: Simplify right side
    518.90x = 163,939.38
  5. Step 5: Solve for x
    x = 163,939.38/518.90
  6. Step 6: Final answer
    x = 315.93

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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.