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Finding the Fourth Proportional to 569.72, 855.22 and 540.92

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Solution

The fourth proportional to 569.72, 855.22 and 540.92 is: 811.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.72 : 855.22 = 540.92 : x
  2. Step 2: Convert to fraction form
    569.72/855.22 = 540.92/x
  3. Step 3: Cross multiply
    569.72x = 855.22 × 540.92
  4. Step 4: Simplify right side
    569.72x = 462,605.60
  5. Step 5: Solve for x
    x = 462,605.60/569.72
  6. Step 6: Final answer
    x = 811.99

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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.