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Finding the Fourth Proportional to 611.14, 916.29 and 322.78

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Solution

The fourth proportional to 611.14, 916.29 and 322.78 is: 483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.14 : 916.29 = 322.78 : x
  2. Step 2: Convert to fraction form
    611.14/916.29 = 322.78/x
  3. Step 3: Cross multiply
    611.14x = 916.29 × 322.78
  4. Step 4: Simplify right side
    611.14x = 295,760.09
  5. Step 5: Solve for x
    x = 295,760.09/611.14
  6. Step 6: Final answer
    x = 483.95

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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.