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Finding the Fourth Proportional to 413.10, 618.84 and 258.93

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Solution

The fourth proportional to 413.10, 618.84 and 258.93 is: 387.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 618.84 = 258.93 : x
  2. Step 2: Convert to fraction form
    413.10/618.84 = 258.93/x
  3. Step 3: Cross multiply
    413.10x = 618.84 × 258.93
  4. Step 4: Simplify right side
    413.10x = 160,236.24
  5. Step 5: Solve for x
    x = 160,236.24/413.10
  6. Step 6: Final answer
    x = 387.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.