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Finding the Fourth Proportional to 561.62, 775.37 and 362.55

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Solution

The fourth proportional to 561.62, 775.37 and 362.55 is: 500.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.62 : 775.37 = 362.55 : x
  2. Step 2: Convert to fraction form
    561.62/775.37 = 362.55/x
  3. Step 3: Cross multiply
    561.62x = 775.37 × 362.55
  4. Step 4: Simplify right side
    561.62x = 281,108.39
  5. Step 5: Solve for x
    x = 281,108.39/561.62
  6. Step 6: Final answer
    x = 500.54

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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.