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Finding the Fourth Proportional to 471.63, 705.62 and 413.42

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Solution

The fourth proportional to 471.63, 705.62 and 413.42 is: 618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.63 : 705.62 = 413.42 : x
  2. Step 2: Convert to fraction form
    471.63/705.62 = 413.42/x
  3. Step 3: Cross multiply
    471.63x = 705.62 × 413.42
  4. Step 4: Simplify right side
    471.63x = 291,711.83
  5. Step 5: Solve for x
    x = 291,711.83/471.63
  6. Step 6: Final answer
    x = 618.52

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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.