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Finding the Fourth Proportional to 564.44, 777.74 and 439.97

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Solution

The fourth proportional to 564.44, 777.74 and 439.97 is: 606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.44 : 777.74 = 439.97 : x
  2. Step 2: Convert to fraction form
    564.44/777.74 = 439.97/x
  3. Step 3: Cross multiply
    564.44x = 777.74 × 439.97
  4. Step 4: Simplify right side
    564.44x = 342,176.18
  5. Step 5: Solve for x
    x = 342,176.18/564.44
  6. Step 6: Final answer
    x = 606.23

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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.