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Finding the Fourth Proportional to 518.34, 777.63 and 193.74

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Solution

The fourth proportional to 518.34, 777.63 and 193.74 is: 290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.34 : 777.63 = 193.74 : x
  2. Step 2: Convert to fraction form
    518.34/777.63 = 193.74/x
  3. Step 3: Cross multiply
    518.34x = 777.63 × 193.74
  4. Step 4: Simplify right side
    518.34x = 150,658.04
  5. Step 5: Solve for x
    x = 150,658.04/518.34
  6. Step 6: Final answer
    x = 290.65

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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.