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Finding the Fourth Proportional to 611.69, 917.33 and 264.80

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Solution

The fourth proportional to 611.69, 917.33 and 264.80 is: 397.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.69 : 917.33 = 264.80 : x
  2. Step 2: Convert to fraction form
    611.69/917.33 = 264.80/x
  3. Step 3: Cross multiply
    611.69x = 917.33 × 264.80
  4. Step 4: Simplify right side
    611.69x = 242,909.95
  5. Step 5: Solve for x
    x = 242,909.95/611.69
  6. Step 6: Final answer
    x = 397.12

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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.