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Finding the Fourth Proportional to 274.10, 413.16 and 258.22

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Solution

The fourth proportional to 274.10, 413.16 and 258.22 is: 389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.10 : 413.16 = 258.22 : x
  2. Step 2: Convert to fraction form
    274.10/413.16 = 258.22/x
  3. Step 3: Cross multiply
    274.10x = 413.16 × 258.22
  4. Step 4: Simplify right side
    274.10x = 106,684.11
  5. Step 5: Solve for x
    x = 106,684.11/274.10
  6. Step 6: Final answer
    x = 389.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.