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Finding the Fourth Proportional to 413.07, 569.46 and 338.12

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Solution

The fourth proportional to 413.07, 569.46 and 338.12 is: 466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.07 : 569.46 = 338.12 : x
  2. Step 2: Convert to fraction form
    413.07/569.46 = 338.12/x
  3. Step 3: Cross multiply
    413.07x = 569.46 × 338.12
  4. Step 4: Simplify right side
    413.07x = 192,545.82
  5. Step 5: Solve for x
    x = 192,545.82/413.07
  6. Step 6: Final answer
    x = 466.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.