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Finding the Fourth Proportional to 413.20, 619.52 and 207.52

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Solution

The fourth proportional to 413.20, 619.52 and 207.52 is: 311.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.20 : 619.52 = 207.52 : x
  2. Step 2: Convert to fraction form
    413.20/619.52 = 207.52/x
  3. Step 3: Cross multiply
    413.20x = 619.52 × 207.52
  4. Step 4: Simplify right side
    413.20x = 128,562.79
  5. Step 5: Solve for x
    x = 128,562.79/413.20
  6. Step 6: Final answer
    x = 311.14

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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.