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Finding the Fourth Proportional to 413.56, 570.06 and 282.52

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Solution

The fourth proportional to 413.56, 570.06 and 282.52 is: 389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.56 : 570.06 = 282.52 : x
  2. Step 2: Convert to fraction form
    413.56/570.06 = 282.52/x
  3. Step 3: Cross multiply
    413.56x = 570.06 × 282.52
  4. Step 4: Simplify right side
    413.56x = 161,053.35
  5. Step 5: Solve for x
    x = 161,053.35/413.56
  6. Step 6: Final answer
    x = 389.43

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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.