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Finding the Fourth Proportional to 413.08, 569.13 and 346.43

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Solution

The fourth proportional to 413.08, 569.13 and 346.43 is: 477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.08 : 569.13 = 346.43 : x
  2. Step 2: Convert to fraction form
    413.08/569.13 = 346.43/x
  3. Step 3: Cross multiply
    413.08x = 569.13 × 346.43
  4. Step 4: Simplify right side
    413.08x = 197,163.71
  5. Step 5: Solve for x
    x = 197,163.71/413.08
  6. Step 6: Final answer
    x = 477.30

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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.