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Finding the Fourth Proportional to 560.65, 773.58 and 327.78

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Solution

The fourth proportional to 560.65, 773.58 and 327.78 is: 452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.65 : 773.58 = 327.78 : x
  2. Step 2: Convert to fraction form
    560.65/773.58 = 327.78/x
  3. Step 3: Cross multiply
    560.65x = 773.58 × 327.78
  4. Step 4: Simplify right side
    560.65x = 253,564.05
  5. Step 5: Solve for x
    x = 253,564.05/560.65
  6. Step 6: Final answer
    x = 452.27

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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.