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Finding the Fourth Proportional to 693.60, 957.24 and 413.82

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Solution

The fourth proportional to 693.60, 957.24 and 413.82 is: 571.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.60 : 957.24 = 413.82 : x
  2. Step 2: Convert to fraction form
    693.60/957.24 = 413.82/x
  3. Step 3: Cross multiply
    693.60x = 957.24 × 413.82
  4. Step 4: Simplify right side
    693.60x = 396,125.06
  5. Step 5: Solve for x
    x = 396,125.06/693.60
  6. Step 6: Final answer
    x = 571.11

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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.