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Finding the Fourth Proportional to 657.74, 986.15 and 292.33

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Solution

The fourth proportional to 657.74, 986.15 and 292.33 is: 438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.74 : 986.15 = 292.33 : x
  2. Step 2: Convert to fraction form
    657.74/986.15 = 292.33/x
  3. Step 3: Cross multiply
    657.74x = 986.15 × 292.33
  4. Step 4: Simplify right side
    657.74x = 288,276.82
  5. Step 5: Solve for x
    x = 288,276.82/657.74
  6. Step 6: Final answer
    x = 438.29

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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.