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Finding the Fourth Proportional to 497.68, 746.68 and 189.52

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Solution

The fourth proportional to 497.68, 746.68 and 189.52 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.68 : 746.68 = 189.52 : x
  2. Step 2: Convert to fraction form
    497.68/746.68 = 189.52/x
  3. Step 3: Cross multiply
    497.68x = 746.68 × 189.52
  4. Step 4: Simplify right side
    497.68x = 141,510.79
  5. Step 5: Solve for x
    x = 141,510.79/497.68
  6. Step 6: Final answer
    x = 284.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.