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Finding the Fourth Proportional to 413.40, 619.21 and 310.53

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Solution

The fourth proportional to 413.40, 619.21 and 310.53 is: 465.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.40 : 619.21 = 310.53 : x
  2. Step 2: Convert to fraction form
    413.40/619.21 = 310.53/x
  3. Step 3: Cross multiply
    413.40x = 619.21 × 310.53
  4. Step 4: Simplify right side
    413.40x = 192,283.28
  5. Step 5: Solve for x
    x = 192,283.28/413.40
  6. Step 6: Final answer
    x = 465.13

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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.