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Finding the Fourth Proportional to 503.75, 754.26 and 259.77

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Solution

The fourth proportional to 503.75, 754.26 and 259.77 is: 388.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.75 : 754.26 = 259.77 : x
  2. Step 2: Convert to fraction form
    503.75/754.26 = 259.77/x
  3. Step 3: Cross multiply
    503.75x = 754.26 × 259.77
  4. Step 4: Simplify right side
    503.75x = 195,934.12
  5. Step 5: Solve for x
    x = 195,934.12/503.75
  6. Step 6: Final answer
    x = 388.95

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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.