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Finding the Fourth Proportional to 413.46, 569.60 and 339.34

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Solution

The fourth proportional to 413.46, 569.60 and 339.34 is: 467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.46 : 569.60 = 339.34 : x
  2. Step 2: Convert to fraction form
    413.46/569.60 = 339.34/x
  3. Step 3: Cross multiply
    413.46x = 569.60 × 339.34
  4. Step 4: Simplify right side
    413.46x = 193,288.06
  5. Step 5: Solve for x
    x = 193,288.06/413.46
  6. Step 6: Final answer
    x = 467.49

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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.