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Finding the Fourth Proportional to 611.22, 916.91 and 286.66

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Solution

The fourth proportional to 611.22, 916.91 and 286.66 is: 430.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.22 : 916.91 = 286.66 : x
  2. Step 2: Convert to fraction form
    611.22/916.91 = 286.66/x
  3. Step 3: Cross multiply
    611.22x = 916.91 × 286.66
  4. Step 4: Simplify right side
    611.22x = 262,841.42
  5. Step 5: Solve for x
    x = 262,841.42/611.22
  6. Step 6: Final answer
    x = 430.03

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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.