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Finding the Fourth Proportional to 611.36, 917.31 and 286.70

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Solution

The fourth proportional to 611.36, 917.31 and 286.70 is: 430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.36 : 917.31 = 286.70 : x
  2. Step 2: Convert to fraction form
    611.36/917.31 = 286.70/x
  3. Step 3: Cross multiply
    611.36x = 917.31 × 286.70
  4. Step 4: Simplify right side
    611.36x = 262,992.78
  5. Step 5: Solve for x
    x = 262,992.78/611.36
  6. Step 6: Final answer
    x = 430.18

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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.