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Finding the Fourth Proportional to 607.34, 837.92 and 496.78

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Solution

The fourth proportional to 607.34, 837.92 and 496.78 is: 685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.34 : 837.92 = 496.78 : x
  2. Step 2: Convert to fraction form
    607.34/837.92 = 496.78/x
  3. Step 3: Cross multiply
    607.34x = 837.92 × 496.78
  4. Step 4: Simplify right side
    607.34x = 416,261.90
  5. Step 5: Solve for x
    x = 416,261.90/607.34
  6. Step 6: Final answer
    x = 685.39

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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.