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Finding the Fourth Proportional to 611.25, 916.46 and 286.71

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Solution

The fourth proportional to 611.25, 916.46 and 286.71 is: 429.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.25 : 916.46 = 286.71 : x
  2. Step 2: Convert to fraction form
    611.25/916.46 = 286.71/x
  3. Step 3: Cross multiply
    611.25x = 916.46 × 286.71
  4. Step 4: Simplify right side
    611.25x = 262,753.66
  5. Step 5: Solve for x
    x = 262,753.66/611.25
  6. Step 6: Final answer
    x = 429.87

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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.