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Finding the Fourth Proportional to 390.97, 586.56 and 174.60

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Solution

The fourth proportional to 390.97, 586.56 and 174.60 is: 261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.97 : 586.56 = 174.60 : x
  2. Step 2: Convert to fraction form
    390.97/586.56 = 174.60/x
  3. Step 3: Cross multiply
    390.97x = 586.56 × 174.60
  4. Step 4: Simplify right side
    390.97x = 102,413.38
  5. Step 5: Solve for x
    x = 102,413.38/390.97
  6. Step 6: Final answer
    x = 261.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.