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Finding the Fourth Proportional to 607.37, 837.92 and 397.80

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Solution

The fourth proportional to 607.37, 837.92 and 397.80 is: 548.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.37 : 837.92 = 397.80 : x
  2. Step 2: Convert to fraction form
    607.37/837.92 = 397.80/x
  3. Step 3: Cross multiply
    607.37x = 837.92 × 397.80
  4. Step 4: Simplify right side
    607.37x = 333,322.59
  5. Step 5: Solve for x
    x = 333,322.59/607.37
  6. Step 6: Final answer
    x = 548.80

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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.