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Finding the Fourth Proportional to 518.60, 778.06 and 210.40

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Solution

The fourth proportional to 518.60, 778.06 and 210.40 is: 315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.60 : 778.06 = 210.40 : x
  2. Step 2: Convert to fraction form
    518.60/778.06 = 210.40/x
  3. Step 3: Cross multiply
    518.60x = 778.06 × 210.40
  4. Step 4: Simplify right side
    518.60x = 163,702.14
  5. Step 5: Solve for x
    x = 163,702.14/518.60
  6. Step 6: Final answer
    x = 315.66

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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.