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Finding the Fourth Proportional to 608.78, 913.14 and 261.98

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Solution

The fourth proportional to 608.78, 913.14 and 261.98 is: 392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.78 : 913.14 = 261.98 : x
  2. Step 2: Convert to fraction form
    608.78/913.14 = 261.98/x
  3. Step 3: Cross multiply
    608.78x = 913.14 × 261.98
  4. Step 4: Simplify right side
    608.78x = 239,224.42
  5. Step 5: Solve for x
    x = 239,224.42/608.78
  6. Step 6: Final answer
    x = 392.96

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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.