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Finding the Fourth Proportional to 413.06, 570.06 and 255.79

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Solution

The fourth proportional to 413.06, 570.06 and 255.79 is: 353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.06 : 570.06 = 255.79 : x
  2. Step 2: Convert to fraction form
    413.06/570.06 = 255.79/x
  3. Step 3: Cross multiply
    413.06x = 570.06 × 255.79
  4. Step 4: Simplify right side
    413.06x = 145,814.22
  5. Step 5: Solve for x
    x = 145,814.22/413.06
  6. Step 6: Final answer
    x = 353.01

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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.