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Finding the Fourth Proportional to 661.99, 913.03 and 413.22

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Solution

The fourth proportional to 661.99, 913.03 and 413.22 is: 569.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.99 : 913.03 = 413.22 : x
  2. Step 2: Convert to fraction form
    661.99/913.03 = 413.22/x
  3. Step 3: Cross multiply
    661.99x = 913.03 × 413.22
  4. Step 4: Simplify right side
    661.99x = 377,282.26
  5. Step 5: Solve for x
    x = 377,282.26/661.99
  6. Step 6: Final answer
    x = 569.92

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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.