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Finding the Fourth Proportional to 561.18, 774.41 and 312.49

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Solution

The fourth proportional to 561.18, 774.41 and 312.49 is: 431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.18 : 774.41 = 312.49 : x
  2. Step 2: Convert to fraction form
    561.18/774.41 = 312.49/x
  3. Step 3: Cross multiply
    561.18x = 774.41 × 312.49
  4. Step 4: Simplify right side
    561.18x = 241,996.54
  5. Step 5: Solve for x
    x = 241,996.54/561.18
  6. Step 6: Final answer
    x = 431.23

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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.