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Finding the Fourth Proportional to 442.53, 665.01 and 413.37

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Solution

The fourth proportional to 442.53, 665.01 and 413.37 is: 621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.53 : 665.01 = 413.37 : x
  2. Step 2: Convert to fraction form
    442.53/665.01 = 413.37/x
  3. Step 3: Cross multiply
    442.53x = 665.01 × 413.37
  4. Step 4: Simplify right side
    442.53x = 274,895.18
  5. Step 5: Solve for x
    x = 274,895.18/442.53
  6. Step 6: Final answer
    x = 621.19

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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.