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Finding the Fourth Proportional to 498.89, 746.96 and 376.79

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Solution

The fourth proportional to 498.89, 746.96 and 376.79 is: 564.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.89 : 746.96 = 376.79 : x
  2. Step 2: Convert to fraction form
    498.89/746.96 = 376.79/x
  3. Step 3: Cross multiply
    498.89x = 746.96 × 376.79
  4. Step 4: Simplify right side
    498.89x = 281,444.27
  5. Step 5: Solve for x
    x = 281,444.27/498.89
  6. Step 6: Final answer
    x = 564.14

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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.