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Finding the Fourth Proportional to 413.16, 570.06 and 282.12

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Solution

The fourth proportional to 413.16, 570.06 and 282.12 is: 389.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.16 : 570.06 = 282.12 : x
  2. Step 2: Convert to fraction form
    413.16/570.06 = 282.12/x
  3. Step 3: Cross multiply
    413.16x = 570.06 × 282.12
  4. Step 4: Simplify right side
    413.16x = 160,825.33
  5. Step 5: Solve for x
    x = 160,825.33/413.16
  6. Step 6: Final answer
    x = 389.26

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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.