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Finding the Fourth Proportional to 611.84, 917.91 and 337.56

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Solution

The fourth proportional to 611.84, 917.91 and 337.56 is: 506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.84 : 917.91 = 337.56 : x
  2. Step 2: Convert to fraction form
    611.84/917.91 = 337.56/x
  3. Step 3: Cross multiply
    611.84x = 917.91 × 337.56
  4. Step 4: Simplify right side
    611.84x = 309,849.70
  5. Step 5: Solve for x
    x = 309,849.70/611.84
  6. Step 6: Final answer
    x = 506.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.