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Finding the Fourth Proportional to 692.57, 955.94 and 413.00

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Solution

The fourth proportional to 692.57, 955.94 and 413.00 is: 570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.57 : 955.94 = 413.00 : x
  2. Step 2: Convert to fraction form
    692.57/955.94 = 413.00/x
  3. Step 3: Cross multiply
    692.57x = 955.94 × 413.00
  4. Step 4: Simplify right side
    692.57x = 394,799.96
  5. Step 5: Solve for x
    x = 394,799.96/692.57
  6. Step 6: Final answer
    x = 570.05

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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.