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Finding the Fourth Proportional to 498.96, 746.90 and 456.44

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Solution

The fourth proportional to 498.96, 746.90 and 456.44 is: 683.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.96 : 746.90 = 456.44 : x
  2. Step 2: Convert to fraction form
    498.96/746.90 = 456.44/x
  3. Step 3: Cross multiply
    498.96x = 746.90 × 456.44
  4. Step 4: Simplify right side
    498.96x = 340,915.04
  5. Step 5: Solve for x
    x = 340,915.04/498.96
  6. Step 6: Final answer
    x = 683.25

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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.