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Finding the Fourth Proportional to 657.73, 986.59 and 292.42

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Solution

The fourth proportional to 657.73, 986.59 and 292.42 is: 438.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.73 : 986.59 = 292.42 : x
  2. Step 2: Convert to fraction form
    657.73/986.59 = 292.42/x
  3. Step 3: Cross multiply
    657.73x = 986.59 × 292.42
  4. Step 4: Simplify right side
    657.73x = 288,496.55
  5. Step 5: Solve for x
    x = 288,496.55/657.73
  6. Step 6: Final answer
    x = 438.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.