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Finding the Fourth Proportional to 503.10, 758.08 and 413.80

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Solution

The fourth proportional to 503.10, 758.08 and 413.80 is: 623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.10 : 758.08 = 413.80 : x
  2. Step 2: Convert to fraction form
    503.10/758.08 = 413.80/x
  3. Step 3: Cross multiply
    503.10x = 758.08 × 413.80
  4. Step 4: Simplify right side
    503.10x = 313,690.57
  5. Step 5: Solve for x
    x = 313,690.57/503.10
  6. Step 6: Final answer
    x = 623.52

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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.