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Finding the Fourth Proportional to 498.34, 745.96 and 455.81

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Solution

The fourth proportional to 498.34, 745.96 and 455.81 is: 682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.34 : 745.96 = 455.81 : x
  2. Step 2: Convert to fraction form
    498.34/745.96 = 455.81/x
  3. Step 3: Cross multiply
    498.34x = 745.96 × 455.81
  4. Step 4: Simplify right side
    498.34x = 340,016.03
  5. Step 5: Solve for x
    x = 340,016.03/498.34
  6. Step 6: Final answer
    x = 682.30

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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.