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Finding the Fourth Proportional to 498.58, 745.66 and 444.14

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Solution

The fourth proportional to 498.58, 745.66 and 444.14 is: 664.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.58 : 745.66 = 444.14 : x
  2. Step 2: Convert to fraction form
    498.58/745.66 = 444.14/x
  3. Step 3: Cross multiply
    498.58x = 745.66 × 444.14
  4. Step 4: Simplify right side
    498.58x = 331,177.43
  5. Step 5: Solve for x
    x = 331,177.43/498.58
  6. Step 6: Final answer
    x = 664.24

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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.