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Finding the Fourth Proportional to 692.91, 955.95 and 413.16

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Solution

The fourth proportional to 692.91, 955.95 and 413.16 is: 570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.91 : 955.95 = 413.16 : x
  2. Step 2: Convert to fraction form
    692.91/955.95 = 413.16/x
  3. Step 3: Cross multiply
    692.91x = 955.95 × 413.16
  4. Step 4: Simplify right side
    692.91x = 394,960.30
  5. Step 5: Solve for x
    x = 394,960.30/692.91
  6. Step 6: Final answer
    x = 570.00

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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.