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Finding the Fourth Proportional to 657.75, 985.91 and 292.04

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Solution

The fourth proportional to 657.75, 985.91 and 292.04 is: 437.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.75 : 985.91 = 292.04 : x
  2. Step 2: Convert to fraction form
    657.75/985.91 = 292.04/x
  3. Step 3: Cross multiply
    657.75x = 985.91 × 292.04
  4. Step 4: Simplify right side
    657.75x = 287,918.77
  5. Step 5: Solve for x
    x = 287,918.77/657.75
  6. Step 6: Final answer
    x = 437.73

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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.