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Finding the Fourth Proportional to 503.26, 758.34 and 413.96

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Solution

The fourth proportional to 503.26, 758.34 and 413.96 is: 623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.26 : 758.34 = 413.96 : x
  2. Step 2: Convert to fraction form
    503.26/758.34 = 413.96/x
  3. Step 3: Cross multiply
    503.26x = 758.34 × 413.96
  4. Step 4: Simplify right side
    503.26x = 313,921.74
  5. Step 5: Solve for x
    x = 313,921.74/503.26
  6. Step 6: Final answer
    x = 623.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.