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Finding the Fourth Proportional to 693.12, 956.44 and 413.42

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Solution

The fourth proportional to 693.12, 956.44 and 413.42 is: 570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.12 : 956.44 = 413.42 : x
  2. Step 2: Convert to fraction form
    693.12/956.44 = 413.42/x
  3. Step 3: Cross multiply
    693.12x = 956.44 × 413.42
  4. Step 4: Simplify right side
    693.12x = 395,411.42
  5. Step 5: Solve for x
    x = 395,411.42/693.12
  6. Step 6: Final answer
    x = 570.48

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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.