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Finding the Fourth Proportional to 561.74, 775.21 and 365.60

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Solution

The fourth proportional to 561.74, 775.21 and 365.60 is: 504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.74 : 775.21 = 365.60 : x
  2. Step 2: Convert to fraction form
    561.74/775.21 = 365.60/x
  3. Step 3: Cross multiply
    561.74x = 775.21 × 365.60
  4. Step 4: Simplify right side
    561.74x = 283,414.95
  5. Step 5: Solve for x
    x = 283,414.95/561.74
  6. Step 6: Final answer
    x = 504.53

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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.