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Finding the Fourth Proportional to 561.43, 774.32 and 471.36

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Solution

The fourth proportional to 561.43, 774.32 and 471.36 is: 650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.43 : 774.32 = 471.36 : x
  2. Step 2: Convert to fraction form
    561.43/774.32 = 471.36/x
  3. Step 3: Cross multiply
    561.43x = 774.32 × 471.36
  4. Step 4: Simplify right side
    561.43x = 364,977.25
  5. Step 5: Solve for x
    x = 364,977.25/561.43
  6. Step 6: Final answer
    x = 650.09

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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.