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Finding the Fourth Proportional to 413.16, 570.36 and 282.24

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Solution

The fourth proportional to 413.16, 570.36 and 282.24 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.16 : 570.36 = 282.24 : x
  2. Step 2: Convert to fraction form
    413.16/570.36 = 282.24/x
  3. Step 3: Cross multiply
    413.16x = 570.36 × 282.24
  4. Step 4: Simplify right side
    413.16x = 160,978.41
  5. Step 5: Solve for x
    x = 160,978.41/413.16
  6. Step 6: Final answer
    x = 389.63

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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.