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Finding the Fourth Proportional to 661.47, 913.22 and 413.00

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Solution

The fourth proportional to 661.47, 913.22 and 413.00 is: 570.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.47 : 913.22 = 413.00 : x
  2. Step 2: Convert to fraction form
    661.47/913.22 = 413.00/x
  3. Step 3: Cross multiply
    661.47x = 913.22 × 413.00
  4. Step 4: Simplify right side
    661.47x = 377,160.53
  5. Step 5: Solve for x
    x = 377,160.53/661.47
  6. Step 6: Final answer
    x = 570.19

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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.