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Finding the Fourth Proportional to 645.96, 891.73 and 413.22

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Solution

The fourth proportional to 645.96, 891.73 and 413.22 is: 570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.96 : 891.73 = 413.22 : x
  2. Step 2: Convert to fraction form
    645.96/891.73 = 413.22/x
  3. Step 3: Cross multiply
    645.96x = 891.73 × 413.22
  4. Step 4: Simplify right side
    645.96x = 368,477.41
  5. Step 5: Solve for x
    x = 368,477.41/645.96
  6. Step 6: Final answer
    x = 570.44

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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.