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Finding the Fourth Proportional to 561.16, 774.48 and 413.56

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Solution

The fourth proportional to 561.16, 774.48 and 413.56 is: 570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.16 : 774.48 = 413.56 : x
  2. Step 2: Convert to fraction form
    561.16/774.48 = 413.56/x
  3. Step 3: Cross multiply
    561.16x = 774.48 × 413.56
  4. Step 4: Simplify right side
    561.16x = 320,293.95
  5. Step 5: Solve for x
    x = 320,293.95/561.16
  6. Step 6: Final answer
    x = 570.77

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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.