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Finding the Fourth Proportional to 561.37, 775.54 and 374.79

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Solution

The fourth proportional to 561.37, 775.54 and 374.79 is: 517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.37 : 775.54 = 374.79 : x
  2. Step 2: Convert to fraction form
    561.37/775.54 = 374.79/x
  3. Step 3: Cross multiply
    561.37x = 775.54 × 374.79
  4. Step 4: Simplify right side
    561.37x = 290,664.64
  5. Step 5: Solve for x
    x = 290,664.64/561.37
  6. Step 6: Final answer
    x = 517.78

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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.