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Finding the Fourth Proportional to 413.86, 570.54 and 282.64

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Solution

The fourth proportional to 413.86, 570.54 and 282.64 is: 389.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.86 : 570.54 = 282.64 : x
  2. Step 2: Convert to fraction form
    413.86/570.54 = 282.64/x
  3. Step 3: Cross multiply
    413.86x = 570.54 × 282.64
  4. Step 4: Simplify right side
    413.86x = 161,257.43
  5. Step 5: Solve for x
    x = 161,257.43/413.86
  6. Step 6: Final answer
    x = 389.64

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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.