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Finding the Fourth Proportional to 697.24, 962.19 and 413.80

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Solution

The fourth proportional to 697.24, 962.19 and 413.80 is: 571.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.24 : 962.19 = 413.80 : x
  2. Step 2: Convert to fraction form
    697.24/962.19 = 413.80/x
  3. Step 3: Cross multiply
    697.24x = 962.19 × 413.80
  4. Step 4: Simplify right side
    697.24x = 398,154.22
  5. Step 5: Solve for x
    x = 398,154.22/697.24
  6. Step 6: Final answer
    x = 571.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.