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Finding the Fourth Proportional to 466.04, 698.34 and 413.48

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Solution

The fourth proportional to 466.04, 698.34 and 413.48 is: 619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.04 : 698.34 = 413.48 : x
  2. Step 2: Convert to fraction form
    466.04/698.34 = 413.48/x
  3. Step 3: Cross multiply
    466.04x = 698.34 × 413.48
  4. Step 4: Simplify right side
    466.04x = 288,749.62
  5. Step 5: Solve for x
    x = 288,749.62/466.04
  6. Step 6: Final answer
    x = 619.58

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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.