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Finding the Fourth Proportional to 498.17, 746.79 and 189.93

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Solution

The fourth proportional to 498.17, 746.79 and 189.93 is: 284.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.17 : 746.79 = 189.93 : x
  2. Step 2: Convert to fraction form
    498.17/746.79 = 189.93/x
  3. Step 3: Cross multiply
    498.17x = 746.79 × 189.93
  4. Step 4: Simplify right side
    498.17x = 141,837.82
  5. Step 5: Solve for x
    x = 141,837.82/498.17
  6. Step 6: Final answer
    x = 284.72

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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.