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Finding the Fourth Proportional to 607, 836.90 and 496.28

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Solution

The fourth proportional to 607, 836.90 and 496.28 is: 684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    607 : 836.90 = 496.28 : x
  2. Step 2: Convert to fraction form
    607/836.90 = 496.28/x
  3. Step 3: Cross multiply
    607x = 836.90 × 496.28
  4. Step 4: Simplify right side
    607x = 415,336.73
  5. Step 5: Solve for x
    x = 415,336.73/607
  6. Step 6: Final answer
    x = 684.25

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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.