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Finding the Fourth Proportional to 693.40, 957.02 and 413.65

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Solution

The fourth proportional to 693.40, 957.02 and 413.65 is: 570.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.40 : 957.02 = 413.65 : x
  2. Step 2: Convert to fraction form
    693.40/957.02 = 413.65/x
  3. Step 3: Cross multiply
    693.40x = 957.02 × 413.65
  4. Step 4: Simplify right side
    693.40x = 395,866.86
  5. Step 5: Solve for x
    x = 395,866.86/693.40
  6. Step 6: Final answer
    x = 570.91

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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.