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Finding the Fourth Proportional to 498.34, 746.73 and 254.53

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Solution

The fourth proportional to 498.34, 746.73 and 254.53 is: 381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.34 : 746.73 = 254.53 : x
  2. Step 2: Convert to fraction form
    498.34/746.73 = 254.53/x
  3. Step 3: Cross multiply
    498.34x = 746.73 × 254.53
  4. Step 4: Simplify right side
    498.34x = 190,065.19
  5. Step 5: Solve for x
    x = 190,065.19/498.34
  6. Step 6: Final answer
    x = 381.40

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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.