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Finding the Fourth Proportional to 413.47, 619.40 and 341.38

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Solution

The fourth proportional to 413.47, 619.40 and 341.38 is: 511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.47 : 619.40 = 341.38 : x
  2. Step 2: Convert to fraction form
    413.47/619.40 = 341.38/x
  3. Step 3: Cross multiply
    413.47x = 619.40 × 341.38
  4. Step 4: Simplify right side
    413.47x = 211,450.48
  5. Step 5: Solve for x
    x = 211,450.48/413.47
  6. Step 6: Final answer
    x = 511.40

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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.