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Finding the Fourth Proportional to 561.52, 774.76 and 413.89

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Solution

The fourth proportional to 561.52, 774.76 and 413.89 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.52 : 774.76 = 413.89 : x
  2. Step 2: Convert to fraction form
    561.52/774.76 = 413.89/x
  3. Step 3: Cross multiply
    561.52x = 774.76 × 413.89
  4. Step 4: Simplify right side
    561.52x = 320,665.42
  5. Step 5: Solve for x
    x = 320,665.42/561.52
  6. Step 6: Final answer
    x = 571.07

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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.