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Finding the Fourth Proportional to 661.94, 913.38 and 413.36

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Solution

The fourth proportional to 661.94, 913.38 and 413.36 is: 570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.94 : 913.38 = 413.36 : x
  2. Step 2: Convert to fraction form
    661.94/913.38 = 413.36/x
  3. Step 3: Cross multiply
    661.94x = 913.38 × 413.36
  4. Step 4: Simplify right side
    661.94x = 377,554.76
  5. Step 5: Solve for x
    x = 377,554.76/661.94
  6. Step 6: Final answer
    x = 570.38

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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.