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Finding the Fourth Proportional to 519.68, 780.08 and 211.74

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Solution

The fourth proportional to 519.68, 780.08 and 211.74 is: 317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.68 : 780.08 = 211.74 : x
  2. Step 2: Convert to fraction form
    519.68/780.08 = 211.74/x
  3. Step 3: Cross multiply
    519.68x = 780.08 × 211.74
  4. Step 4: Simplify right side
    519.68x = 165,173.08
  5. Step 5: Solve for x
    x = 165,173.08/519.68
  6. Step 6: Final answer
    x = 317.84

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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.