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Finding the Fourth Proportional to 561.22, 774.53 and 359.47

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Solution

The fourth proportional to 561.22, 774.53 and 359.47 is: 496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.22 : 774.53 = 359.47 : x
  2. Step 2: Convert to fraction form
    561.22/774.53 = 359.47/x
  3. Step 3: Cross multiply
    561.22x = 774.53 × 359.47
  4. Step 4: Simplify right side
    561.22x = 278,420.30
  5. Step 5: Solve for x
    x = 278,420.30/561.22
  6. Step 6: Final answer
    x = 496.10

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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.