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Finding the Fourth Proportional to 499.26, 747.12 and 304.21

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Solution

The fourth proportional to 499.26, 747.12 and 304.21 is: 455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.26 : 747.12 = 304.21 : x
  2. Step 2: Convert to fraction form
    499.26/747.12 = 304.21/x
  3. Step 3: Cross multiply
    499.26x = 747.12 × 304.21
  4. Step 4: Simplify right side
    499.26x = 227,279.25
  5. Step 5: Solve for x
    x = 227,279.25/499.26
  6. Step 6: Final answer
    x = 455.23

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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.