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Finding the Fourth Proportional to 661.98, 913.98 and 413.67

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Solution

The fourth proportional to 661.98, 913.98 and 413.67 is: 571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.98 : 913.98 = 413.67 : x
  2. Step 2: Convert to fraction form
    661.98/913.98 = 413.67/x
  3. Step 3: Cross multiply
    661.98x = 913.98 × 413.67
  4. Step 4: Simplify right side
    661.98x = 378,086.11
  5. Step 5: Solve for x
    x = 378,086.11/661.98
  6. Step 6: Final answer
    x = 571.14

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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.