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Finding the Fourth Proportional to 611.47, 917.37 and 264.66

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Solution

The fourth proportional to 611.47, 917.37 and 264.66 is: 397.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.47 : 917.37 = 264.66 : x
  2. Step 2: Convert to fraction form
    611.47/917.37 = 264.66/x
  3. Step 3: Cross multiply
    611.47x = 917.37 × 264.66
  4. Step 4: Simplify right side
    611.47x = 242,786.56
  5. Step 5: Solve for x
    x = 242,786.56/611.47
  6. Step 6: Final answer
    x = 397.05

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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.