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Finding the Fourth Proportional to 333.26, 499.17 and 307.75

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Solution

The fourth proportional to 333.26, 499.17 and 307.75 is: 460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.26 : 499.17 = 307.75 : x
  2. Step 2: Convert to fraction form
    333.26/499.17 = 307.75/x
  3. Step 3: Cross multiply
    333.26x = 499.17 × 307.75
  4. Step 4: Simplify right side
    333.26x = 153,619.57
  5. Step 5: Solve for x
    x = 153,619.57/333.26
  6. Step 6: Final answer
    x = 460.96

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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.