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Finding the Fourth Proportional to 657.96, 986.46 and 414.44

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Solution

The fourth proportional to 657.96, 986.46 and 414.44 is: 621.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.96 : 986.46 = 414.44 : x
  2. Step 2: Convert to fraction form
    657.96/986.46 = 414.44/x
  3. Step 3: Cross multiply
    657.96x = 986.46 × 414.44
  4. Step 4: Simplify right side
    657.96x = 408,828.48
  5. Step 5: Solve for x
    x = 408,828.48/657.96
  6. Step 6: Final answer
    x = 621.36

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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.