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Finding the Fourth Proportional to 413.30, 622.40 and 359.84

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Solution

The fourth proportional to 413.30, 622.40 and 359.84 is: 541.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.30 : 622.40 = 359.84 : x
  2. Step 2: Convert to fraction form
    413.30/622.40 = 359.84/x
  3. Step 3: Cross multiply
    413.30x = 622.40 × 359.84
  4. Step 4: Simplify right side
    413.30x = 223,959.50
  5. Step 5: Solve for x
    x = 223,959.50/413.30
  6. Step 6: Final answer
    x = 541.89

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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.