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Finding the Fourth Proportional to 413.19, 618.98 and 336.24

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Solution

The fourth proportional to 413.19, 618.98 and 336.24 is: 503.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.19 : 618.98 = 336.24 : x
  2. Step 2: Convert to fraction form
    413.19/618.98 = 336.24/x
  3. Step 3: Cross multiply
    413.19x = 618.98 × 336.24
  4. Step 4: Simplify right side
    413.19x = 208,124.15
  5. Step 5: Solve for x
    x = 208,124.15/413.19
  6. Step 6: Final answer
    x = 503.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.