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Finding the Fourth Proportional to 606.71, 837.27 and 397.02

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Solution

The fourth proportional to 606.71, 837.27 and 397.02 is: 547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.71 : 837.27 = 397.02 : x
  2. Step 2: Convert to fraction form
    606.71/837.27 = 397.02/x
  3. Step 3: Cross multiply
    606.71x = 837.27 × 397.02
  4. Step 4: Simplify right side
    606.71x = 332,412.94
  5. Step 5: Solve for x
    x = 332,412.94/606.71
  6. Step 6: Final answer
    x = 547.90

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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.