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Finding the Fourth Proportional to 498.12, 745.54 and 444.12

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Solution

The fourth proportional to 498.12, 745.54 and 444.12 is: 664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.12 : 745.54 = 444.12 : x
  2. Step 2: Convert to fraction form
    498.12/745.54 = 444.12/x
  3. Step 3: Cross multiply
    498.12x = 745.54 × 444.12
  4. Step 4: Simplify right side
    498.12x = 331,109.22
  5. Step 5: Solve for x
    x = 331,109.22/498.12
  6. Step 6: Final answer
    x = 664.72

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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.