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Finding the Fourth Proportional to 692.72, 955.79 and 413.04

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Solution

The fourth proportional to 692.72, 955.79 and 413.04 is: 569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.72 : 955.79 = 413.04 : x
  2. Step 2: Convert to fraction form
    692.72/955.79 = 413.04/x
  3. Step 3: Cross multiply
    692.72x = 955.79 × 413.04
  4. Step 4: Simplify right side
    692.72x = 394,779.50
  5. Step 5: Solve for x
    x = 394,779.50/692.72
  6. Step 6: Final answer
    x = 569.90

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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.