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Finding the Fourth Proportional to 413.04, 617.64 and 369.84

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Solution

The fourth proportional to 413.04, 617.64 and 369.84 is: 553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.04 : 617.64 = 369.84 : x
  2. Step 2: Convert to fraction form
    413.04/617.64 = 369.84/x
  3. Step 3: Cross multiply
    413.04x = 617.64 × 369.84
  4. Step 4: Simplify right side
    413.04x = 228,427.98
  5. Step 5: Solve for x
    x = 228,427.98/413.04
  6. Step 6: Final answer
    x = 553.04

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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.