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Finding the Fourth Proportional to 420.11, 633.30 and 413.81

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Solution

The fourth proportional to 420.11, 633.30 and 413.81 is: 623.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.11 : 633.30 = 413.81 : x
  2. Step 2: Convert to fraction form
    420.11/633.30 = 413.81/x
  3. Step 3: Cross multiply
    420.11x = 633.30 × 413.81
  4. Step 4: Simplify right side
    420.11x = 262,065.87
  5. Step 5: Solve for x
    x = 262,065.87/420.11
  6. Step 6: Final answer
    x = 623.80

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.