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Finding the Fourth Proportional to 661.62, 913.12 and 413.01

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Solution

The fourth proportional to 661.62, 913.12 and 413.01 is: 570.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.62 : 913.12 = 413.01 : x
  2. Step 2: Convert to fraction form
    661.62/913.12 = 413.01/x
  3. Step 3: Cross multiply
    661.62x = 913.12 × 413.01
  4. Step 4: Simplify right side
    661.62x = 377,127.69
  5. Step 5: Solve for x
    x = 377,127.69/661.62
  6. Step 6: Final answer
    x = 570.01

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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.