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Finding the Fourth Proportional to 497.68, 746.56 and 189.57

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Solution

The fourth proportional to 497.68, 746.56 and 189.57 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.68 : 746.56 = 189.57 : x
  2. Step 2: Convert to fraction form
    497.68/746.56 = 189.57/x
  3. Step 3: Cross multiply
    497.68x = 746.56 × 189.57
  4. Step 4: Simplify right side
    497.68x = 141,520.70
  5. Step 5: Solve for x
    x = 141,520.70/497.68
  6. Step 6: Final answer
    x = 284.36

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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.