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Finding the Fourth Proportional to 473.81, 713.54 and 413.69

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Solution

The fourth proportional to 473.81, 713.54 and 413.69 is: 623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.81 : 713.54 = 413.69 : x
  2. Step 2: Convert to fraction form
    473.81/713.54 = 413.69/x
  3. Step 3: Cross multiply
    473.81x = 713.54 × 413.69
  4. Step 4: Simplify right side
    473.81x = 295,181.83
  5. Step 5: Solve for x
    x = 295,181.83/473.81
  6. Step 6: Final answer
    x = 623.00

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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.