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Finding the Fourth Proportional to 607.82, 838.40 and 497.12

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Solution

The fourth proportional to 607.82, 838.40 and 497.12 is: 685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.82 : 838.40 = 497.12 : x
  2. Step 2: Convert to fraction form
    607.82/838.40 = 497.12/x
  3. Step 3: Cross multiply
    607.82x = 838.40 × 497.12
  4. Step 4: Simplify right side
    607.82x = 416,778.73
  5. Step 5: Solve for x
    x = 416,778.73/607.82
  6. Step 6: Final answer
    x = 685.70

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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.