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Finding the Fourth Proportional to 611.64, 843.75 and 362.86

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Solution

The fourth proportional to 611.64, 843.75 and 362.86 is: 500.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.64 : 843.75 = 362.86 : x
  2. Step 2: Convert to fraction form
    611.64/843.75 = 362.86/x
  3. Step 3: Cross multiply
    611.64x = 843.75 × 362.86
  4. Step 4: Simplify right side
    611.64x = 306,161.02
  5. Step 5: Solve for x
    x = 306,161.02/611.64
  6. Step 6: Final answer
    x = 500.56

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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.