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Finding the Fourth Proportional to 657.38, 986.14 and 292.22

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Solution

The fourth proportional to 657.38, 986.14 and 292.22 is: 438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.38 : 986.14 = 292.22 : x
  2. Step 2: Convert to fraction form
    657.38/986.14 = 292.22/x
  3. Step 3: Cross multiply
    657.38x = 986.14 × 292.22
  4. Step 4: Simplify right side
    657.38x = 288,169.83
  5. Step 5: Solve for x
    x = 288,169.83/657.38
  6. Step 6: Final answer
    x = 438.36

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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.