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Finding the Fourth Proportional to 503.26, 754.71 and 433.78

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Solution

The fourth proportional to 503.26, 754.71 and 433.78 is: 650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.26 : 754.71 = 433.78 : x
  2. Step 2: Convert to fraction form
    503.26/754.71 = 433.78/x
  3. Step 3: Cross multiply
    503.26x = 754.71 × 433.78
  4. Step 4: Simplify right side
    503.26x = 327,378.10
  5. Step 5: Solve for x
    x = 327,378.10/503.26
  6. Step 6: Final answer
    x = 650.51

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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.