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Finding the Fourth Proportional to 437.58, 656.31 and 413.49

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Solution

The fourth proportional to 437.58, 656.31 and 413.49 is: 620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.58 : 656.31 = 413.49 : x
  2. Step 2: Convert to fraction form
    437.58/656.31 = 413.49/x
  3. Step 3: Cross multiply
    437.58x = 656.31 × 413.49
  4. Step 4: Simplify right side
    437.58x = 271,377.62
  5. Step 5: Solve for x
    x = 271,377.62/437.58
  6. Step 6: Final answer
    x = 620.18

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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.