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Finding the Fourth Proportional to 476.22, 657.50 and 426.27

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Solution

The fourth proportional to 476.22, 657.50 and 426.27 is: 588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.22 : 657.50 = 426.27 : x
  2. Step 2: Convert to fraction form
    476.22/657.50 = 426.27/x
  3. Step 3: Cross multiply
    476.22x = 657.50 × 426.27
  4. Step 4: Simplify right side
    476.22x = 280,270.39
  5. Step 5: Solve for x
    x = 280,270.39/476.22
  6. Step 6: Final answer
    x = 588.53

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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.