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Finding the Fourth Proportional to 498.02, 745.20 and 292.68

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Solution

The fourth proportional to 498.02, 745.20 and 292.68 is: 437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.02 : 745.20 = 292.68 : x
  2. Step 2: Convert to fraction form
    498.02/745.20 = 292.68/x
  3. Step 3: Cross multiply
    498.02x = 745.20 × 292.68
  4. Step 4: Simplify right side
    498.02x = 218,105.14
  5. Step 5: Solve for x
    x = 218,105.14/498.02
  6. Step 6: Final answer
    x = 437.95

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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.