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Finding the Fourth Proportional to 693.59, 957.11 and 413.84

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Solution

The fourth proportional to 693.59, 957.11 and 413.84 is: 571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.59 : 957.11 = 413.84 : x
  2. Step 2: Convert to fraction form
    693.59/957.11 = 413.84/x
  3. Step 3: Cross multiply
    693.59x = 957.11 × 413.84
  4. Step 4: Simplify right side
    693.59x = 396,090.73
  5. Step 5: Solve for x
    x = 396,090.73/693.59
  6. Step 6: Final answer
    x = 571.08

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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.