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Finding the Fourth Proportional to 611.13, 916.23 and 286.72

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Solution

The fourth proportional to 611.13, 916.23 and 286.72 is: 429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.13 : 916.23 = 286.72 : x
  2. Step 2: Convert to fraction form
    611.13/916.23 = 286.72/x
  3. Step 3: Cross multiply
    611.13x = 916.23 × 286.72
  4. Step 4: Simplify right side
    611.13x = 262,701.47
  5. Step 5: Solve for x
    x = 262,701.47/611.13
  6. Step 6: Final answer
    x = 429.86

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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.