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Finding the Fourth Proportional to 427.90, 590.21 and 413.61

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Solution

The fourth proportional to 427.90, 590.21 and 413.61 is: 570.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.90 : 590.21 = 413.61 : x
  2. Step 2: Convert to fraction form
    427.90/590.21 = 413.61/x
  3. Step 3: Cross multiply
    427.90x = 590.21 × 413.61
  4. Step 4: Simplify right side
    427.90x = 244,116.76
  5. Step 5: Solve for x
    x = 244,116.76/427.90
  6. Step 6: Final answer
    x = 570.50

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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.