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Finding the Fourth Proportional to 661.99, 913.32 and 413.11

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Solution

The fourth proportional to 661.99, 913.32 and 413.11 is: 569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.99 : 913.32 = 413.11 : x
  2. Step 2: Convert to fraction form
    661.99/913.32 = 413.11/x
  3. Step 3: Cross multiply
    661.99x = 913.32 × 413.11
  4. Step 4: Simplify right side
    661.99x = 377,301.63
  5. Step 5: Solve for x
    x = 377,301.63/661.99
  6. Step 6: Final answer
    x = 569.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.