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Finding the Fourth Proportional to 413.10, 620.87 and 383.00

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Solution

The fourth proportional to 413.10, 620.87 and 383.00 is: 575.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 620.87 = 383.00 : x
  2. Step 2: Convert to fraction form
    413.10/620.87 = 383.00/x
  3. Step 3: Cross multiply
    413.10x = 620.87 × 383.00
  4. Step 4: Simplify right side
    413.10x = 237,788.19
  5. Step 5: Solve for x
    x = 237,788.19/413.10
  6. Step 6: Final answer
    x = 575.62

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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.