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Finding the Fourth Proportional to 622.02, 931.06 and 413.38

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Solution

The fourth proportional to 622.02, 931.06 and 413.38 is: 618.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.02 : 931.06 = 413.38 : x
  2. Step 2: Convert to fraction form
    622.02/931.06 = 413.38/x
  3. Step 3: Cross multiply
    622.02x = 931.06 × 413.38
  4. Step 4: Simplify right side
    622.02x = 384,883.26
  5. Step 5: Solve for x
    x = 384,883.26/622.02
  6. Step 6: Final answer
    x = 618.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.