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Finding the Fourth Proportional to 564.44, 778.52 and 433.22

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Solution

The fourth proportional to 564.44, 778.52 and 433.22 is: 597.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.44 : 778.52 = 433.22 : x
  2. Step 2: Convert to fraction form
    564.44/778.52 = 433.22/x
  3. Step 3: Cross multiply
    564.44x = 778.52 × 433.22
  4. Step 4: Simplify right side
    564.44x = 337,270.43
  5. Step 5: Solve for x
    x = 337,270.43/564.44
  6. Step 6: Final answer
    x = 597.53

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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.