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Finding the Fourth Proportional to 518.84, 778.27 and 210.70

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Solution

The fourth proportional to 518.84, 778.27 and 210.70 is: 316.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.84 : 778.27 = 210.70 : x
  2. Step 2: Convert to fraction form
    518.84/778.27 = 210.70/x
  3. Step 3: Cross multiply
    518.84x = 778.27 × 210.70
  4. Step 4: Simplify right side
    518.84x = 163,977.16
  5. Step 5: Solve for x
    x = 163,977.16/518.84
  6. Step 6: Final answer
    x = 316.04

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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.