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Finding the Fourth Proportional to 693.69, 957.03 and 413.93

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Solution

The fourth proportional to 693.69, 957.03 and 413.93 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.69 : 957.03 = 413.93 : x
  2. Step 2: Convert to fraction form
    693.69/957.03 = 413.93/x
  3. Step 3: Cross multiply
    693.69x = 957.03 × 413.93
  4. Step 4: Simplify right side
    693.69x = 396,144.27
  5. Step 5: Solve for x
    x = 396,144.27/693.69
  6. Step 6: Final answer
    x = 571.07

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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.