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Finding the Fourth Proportional to 560.25, 773.15 and 327.38

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Solution

The fourth proportional to 560.25, 773.15 and 327.38 is: 451.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.25 : 773.15 = 327.38 : x
  2. Step 2: Convert to fraction form
    560.25/773.15 = 327.38/x
  3. Step 3: Cross multiply
    560.25x = 773.15 × 327.38
  4. Step 4: Simplify right side
    560.25x = 253,108.34
  5. Step 5: Solve for x
    x = 253,108.34/560.25
  6. Step 6: Final answer
    x = 451.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.