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Finding the Fourth Proportional to 413.71, 570.47 and 289.31

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Solution

The fourth proportional to 413.71, 570.47 and 289.31 is: 398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.71 : 570.47 = 289.31 : x
  2. Step 2: Convert to fraction form
    413.71/570.47 = 289.31/x
  3. Step 3: Cross multiply
    413.71x = 570.47 × 289.31
  4. Step 4: Simplify right side
    413.71x = 165,038.38
  5. Step 5: Solve for x
    x = 165,038.38/413.71
  6. Step 6: Final answer
    x = 398.93

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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.