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Finding the Fourth Proportional to 413.50, 619.70 and 230.98

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Solution

The fourth proportional to 413.50, 619.70 and 230.98 is: 346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.50 : 619.70 = 230.98 : x
  2. Step 2: Convert to fraction form
    413.50/619.70 = 230.98/x
  3. Step 3: Cross multiply
    413.50x = 619.70 × 230.98
  4. Step 4: Simplify right side
    413.50x = 143,138.31
  5. Step 5: Solve for x
    x = 143,138.31/413.50
  6. Step 6: Final answer
    x = 346.16

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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.