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Finding the Fourth Proportional to 561, 774 and 364.44

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Solution

The fourth proportional to 561, 774 and 364.44 is: 502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    561 : 774 = 364.44 : x
  2. Step 2: Convert to fraction form
    561/774 = 364.44/x
  3. Step 3: Cross multiply
    561x = 774 × 364.44
  4. Step 4: Simplify right side
    561x = 282,076.56
  5. Step 5: Solve for x
    x = 282,076.56/561
  6. Step 6: Final answer
    x = 502.81

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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.