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Finding the Fourth Proportional to 413.21, 570.63 and 288.69

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Solution

The fourth proportional to 413.21, 570.63 and 288.69 is: 398.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.21 : 570.63 = 288.69 : x
  2. Step 2: Convert to fraction form
    413.21/570.63 = 288.69/x
  3. Step 3: Cross multiply
    413.21x = 570.63 × 288.69
  4. Step 4: Simplify right side
    413.21x = 164,735.17
  5. Step 5: Solve for x
    x = 164,735.17/413.21
  6. Step 6: Final answer
    x = 398.68

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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.