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Finding the Fourth Proportional to 413.83, 619.54 and 322.25

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Solution

The fourth proportional to 413.83, 619.54 and 322.25 is: 482.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.83 : 619.54 = 322.25 : x
  2. Step 2: Convert to fraction form
    413.83/619.54 = 322.25/x
  3. Step 3: Cross multiply
    413.83x = 619.54 × 322.25
  4. Step 4: Simplify right side
    413.83x = 199,642.86
  5. Step 5: Solve for x
    x = 199,642.86/413.83
  6. Step 6: Final answer
    x = 482.43

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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.