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Finding the Fourth Proportional to 413.81, 570.07 and 289.24

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Solution

The fourth proportional to 413.81, 570.07 and 289.24 is: 398.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.81 : 570.07 = 289.24 : x
  2. Step 2: Convert to fraction form
    413.81/570.07 = 289.24/x
  3. Step 3: Cross multiply
    413.81x = 570.07 × 289.24
  4. Step 4: Simplify right side
    413.81x = 164,885.98
  5. Step 5: Solve for x
    x = 164,885.98/413.81
  6. Step 6: Final answer
    x = 398.46

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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.