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Finding the Fourth Proportional to 413.68, 569.96 and 282.46

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Solution

The fourth proportional to 413.68, 569.96 and 282.46 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.68 : 569.96 = 282.46 : x
  2. Step 2: Convert to fraction form
    413.68/569.96 = 282.46/x
  3. Step 3: Cross multiply
    413.68x = 569.96 × 282.46
  4. Step 4: Simplify right side
    413.68x = 160,990.90
  5. Step 5: Solve for x
    x = 160,990.90/413.68
  6. Step 6: Final answer
    x = 389.17

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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.