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Finding the Fourth Proportional to 299.52, 413.07 and 258.06

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Solution

The fourth proportional to 299.52, 413.07 and 258.06 is: 355.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.52 : 413.07 = 258.06 : x
  2. Step 2: Convert to fraction form
    299.52/413.07 = 258.06/x
  3. Step 3: Cross multiply
    299.52x = 413.07 × 258.06
  4. Step 4: Simplify right side
    299.52x = 106,596.84
  5. Step 5: Solve for x
    x = 106,596.84/299.52
  6. Step 6: Final answer
    x = 355.89

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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.