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Finding the Fourth Proportional to 657.69, 986.94 and 292.59

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Solution

The fourth proportional to 657.69, 986.94 and 292.59 is: 439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.69 : 986.94 = 292.59 : x
  2. Step 2: Convert to fraction form
    657.69/986.94 = 292.59/x
  3. Step 3: Cross multiply
    657.69x = 986.94 × 292.59
  4. Step 4: Simplify right side
    657.69x = 288,768.77
  5. Step 5: Solve for x
    x = 288,768.77/657.69
  6. Step 6: Final answer
    x = 439.07

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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.