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Finding the Fourth Proportional to 497.97, 746.84 and 189.77

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Solution

The fourth proportional to 497.97, 746.84 and 189.77 is: 284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.97 : 746.84 = 189.77 : x
  2. Step 2: Convert to fraction form
    497.97/746.84 = 189.77/x
  3. Step 3: Cross multiply
    497.97x = 746.84 × 189.77
  4. Step 4: Simplify right side
    497.97x = 141,723.14
  5. Step 5: Solve for x
    x = 141,723.14/497.97
  6. Step 6: Final answer
    x = 284.60

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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.