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Finding the Fourth Proportional to 498.28, 746.34 and 305.68

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Solution

The fourth proportional to 498.28, 746.34 and 305.68 is: 457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.28 : 746.34 = 305.68 : x
  2. Step 2: Convert to fraction form
    498.28/746.34 = 305.68/x
  3. Step 3: Cross multiply
    498.28x = 746.34 × 305.68
  4. Step 4: Simplify right side
    498.28x = 228,141.21
  5. Step 5: Solve for x
    x = 228,141.21/498.28
  6. Step 6: Final answer
    x = 457.86

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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.