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Finding the Fourth Proportional to 514.72, 772.44 and 352.56

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Solution

The fourth proportional to 514.72, 772.44 and 352.56 is: 529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.72 : 772.44 = 352.56 : x
  2. Step 2: Convert to fraction form
    514.72/772.44 = 352.56/x
  3. Step 3: Cross multiply
    514.72x = 772.44 × 352.56
  4. Step 4: Simplify right side
    514.72x = 272,331.45
  5. Step 5: Solve for x
    x = 272,331.45/514.72
  6. Step 6: Final answer
    x = 529.09

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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.