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Finding the Fourth Proportional to 413.11, 619.51 and 135.40

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Solution

The fourth proportional to 413.11, 619.51 and 135.40 is: 203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.11 : 619.51 = 135.40 : x
  2. Step 2: Convert to fraction form
    413.11/619.51 = 135.40/x
  3. Step 3: Cross multiply
    413.11x = 619.51 × 135.40
  4. Step 4: Simplify right side
    413.11x = 83,882.60
  5. Step 5: Solve for x
    x = 83,882.60/413.11
  6. Step 6: Final answer
    x = 203.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.