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Finding the Fourth Proportional to 518.62, 777.86 and 210.48

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Solution

The fourth proportional to 518.62, 777.86 and 210.48 is: 315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.62 : 777.86 = 210.48 : x
  2. Step 2: Convert to fraction form
    518.62/777.86 = 210.48/x
  3. Step 3: Cross multiply
    518.62x = 777.86 × 210.48
  4. Step 4: Simplify right side
    518.62x = 163,720.08
  5. Step 5: Solve for x
    x = 163,720.08/518.62
  6. Step 6: Final answer
    x = 315.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.