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Finding the Fourth Proportional to 611.96, 916.53 and 367.94

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Solution

The fourth proportional to 611.96, 916.53 and 367.94 is: 551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.96 : 916.53 = 367.94 : x
  2. Step 2: Convert to fraction form
    611.96/916.53 = 367.94/x
  3. Step 3: Cross multiply
    611.96x = 916.53 × 367.94
  4. Step 4: Simplify right side
    611.96x = 337,223.47
  5. Step 5: Solve for x
    x = 337,223.47/611.96
  6. Step 6: Final answer
    x = 551.06

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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.