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Finding the Fourth Proportional to 413.30, 619.90 and 240.07

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Solution

The fourth proportional to 413.30, 619.90 and 240.07 is: 360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.30 : 619.90 = 240.07 : x
  2. Step 2: Convert to fraction form
    413.30/619.90 = 240.07/x
  3. Step 3: Cross multiply
    413.30x = 619.90 × 240.07
  4. Step 4: Simplify right side
    413.30x = 148,816.29
  5. Step 5: Solve for x
    x = 148,816.29/413.30
  6. Step 6: Final answer
    x = 360.07

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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.