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Finding the Fourth Proportional to 560.66, 773.88 and 327.82

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Solution

The fourth proportional to 560.66, 773.88 and 327.82 is: 452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.66 : 773.88 = 327.82 : x
  2. Step 2: Convert to fraction form
    560.66/773.88 = 327.82/x
  3. Step 3: Cross multiply
    560.66x = 773.88 × 327.82
  4. Step 4: Simplify right side
    560.66x = 253,693.34
  5. Step 5: Solve for x
    x = 253,693.34/560.66
  6. Step 6: Final answer
    x = 452.49

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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.