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Finding the Fourth Proportional to 413.49, 619.63 and 361.86

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Solution

The fourth proportional to 413.49, 619.63 and 361.86 is: 542.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.49 : 619.63 = 361.86 : x
  2. Step 2: Convert to fraction form
    413.49/619.63 = 361.86/x
  3. Step 3: Cross multiply
    413.49x = 619.63 × 361.86
  4. Step 4: Simplify right side
    413.49x = 224,219.31
  5. Step 5: Solve for x
    x = 224,219.31/413.49
  6. Step 6: Final answer
    x = 542.26

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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.