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Finding the Fourth Proportional to 413.70, 619.72 and 311.10

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Solution

The fourth proportional to 413.70, 619.72 and 311.10 is: 466.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.70 : 619.72 = 311.10 : x
  2. Step 2: Convert to fraction form
    413.70/619.72 = 311.10/x
  3. Step 3: Cross multiply
    413.70x = 619.72 × 311.10
  4. Step 4: Simplify right side
    413.70x = 192,794.89
  5. Step 5: Solve for x
    x = 192,794.89/413.70
  6. Step 6: Final answer
    x = 466.03

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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.