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Finding the Fourth Proportional to 608.68, 912.70 and 361.99

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Solution

The fourth proportional to 608.68, 912.70 and 361.99 is: 542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.68 : 912.70 = 361.99 : x
  2. Step 2: Convert to fraction form
    608.68/912.70 = 361.99/x
  3. Step 3: Cross multiply
    608.68x = 912.70 × 361.99
  4. Step 4: Simplify right side
    608.68x = 330,388.27
  5. Step 5: Solve for x
    x = 330,388.27/608.68
  6. Step 6: Final answer
    x = 542.79

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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.