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Finding the Fourth Proportional to 517.89, 777.30 and 209.74

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Solution

The fourth proportional to 517.89, 777.30 and 209.74 is: 314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.89 : 777.30 = 209.74 : x
  2. Step 2: Convert to fraction form
    517.89/777.30 = 209.74/x
  3. Step 3: Cross multiply
    517.89x = 777.30 × 209.74
  4. Step 4: Simplify right side
    517.89x = 163,029.63
  5. Step 5: Solve for x
    x = 163,029.63/517.89
  6. Step 6: Final answer
    x = 314.79

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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.