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Finding the Fourth Proportional to 575.61, 863.03 and 205.26

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Solution

The fourth proportional to 575.61, 863.03 and 205.26 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.61 : 863.03 = 205.26 : x
  2. Step 2: Convert to fraction form
    575.61/863.03 = 205.26/x
  3. Step 3: Cross multiply
    575.61x = 863.03 × 205.26
  4. Step 4: Simplify right side
    575.61x = 177,144.66
  5. Step 5: Solve for x
    x = 177,144.66/575.61
  6. Step 6: Final answer
    x = 307.75

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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.