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Finding the Fourth Proportional to 413.20, 557.55 and 413.20

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Solution

The fourth proportional to 413.20, 557.55 and 413.20 is: 557.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.20 : 557.55 = 413.20 : x
  2. Step 2: Convert to fraction form
    413.20/557.55 = 413.20/x
  3. Step 3: Cross multiply
    413.20x = 557.55 × 413.20
  4. Step 4: Simplify right side
    413.20x = 230,379.66
  5. Step 5: Solve for x
    x = 230,379.66/413.20
  6. Step 6: Final answer
    x = 557.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.