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Finding the Fourth Proportional to 413.08, 572.96 and 398.30

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Solution

The fourth proportional to 413.08, 572.96 and 398.30 is: 552.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.08 : 572.96 = 398.30 : x
  2. Step 2: Convert to fraction form
    413.08/572.96 = 398.30/x
  3. Step 3: Cross multiply
    413.08x = 572.96 × 398.30
  4. Step 4: Simplify right side
    413.08x = 228,212.40
  5. Step 5: Solve for x
    x = 228,212.40/413.08
  6. Step 6: Final answer
    x = 552.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.