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Finding the Fourth Proportional to 611.76, 843.81 and 425.46

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Solution

The fourth proportional to 611.76, 843.81 and 425.46 is: 586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.76 : 843.81 = 425.46 : x
  2. Step 2: Convert to fraction form
    611.76/843.81 = 425.46/x
  3. Step 3: Cross multiply
    611.76x = 843.81 × 425.46
  4. Step 4: Simplify right side
    611.76x = 359,007.40
  5. Step 5: Solve for x
    x = 359,007.40/611.76
  6. Step 6: Final answer
    x = 586.84

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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.