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Finding the Fourth Proportional to 560.16, 772.96 and 327.24

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Solution

The fourth proportional to 560.16, 772.96 and 327.24 is: 451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.16 : 772.96 = 327.24 : x
  2. Step 2: Convert to fraction form
    560.16/772.96 = 327.24/x
  3. Step 3: Cross multiply
    560.16x = 772.96 × 327.24
  4. Step 4: Simplify right side
    560.16x = 252,943.43
  5. Step 5: Solve for x
    x = 252,943.43/560.16
  6. Step 6: Final answer
    x = 451.56

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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.