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Finding the Fourth Proportional to 499.02, 746.70 and 293.68

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Solution

The fourth proportional to 499.02, 746.70 and 293.68 is: 439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.02 : 746.70 = 293.68 : x
  2. Step 2: Convert to fraction form
    499.02/746.70 = 293.68/x
  3. Step 3: Cross multiply
    499.02x = 746.70 × 293.68
  4. Step 4: Simplify right side
    499.02x = 219,290.86
  5. Step 5: Solve for x
    x = 219,290.86/499.02
  6. Step 6: Final answer
    x = 439.44

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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.