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Finding the Fourth Proportional to 692.93, 956.14 and 413.15

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Solution

The fourth proportional to 692.93, 956.14 and 413.15 is: 570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.93 : 956.14 = 413.15 : x
  2. Step 2: Convert to fraction form
    692.93/956.14 = 413.15/x
  3. Step 3: Cross multiply
    692.93x = 956.14 × 413.15
  4. Step 4: Simplify right side
    692.93x = 395,029.24
  5. Step 5: Solve for x
    x = 395,029.24/692.93
  6. Step 6: Final answer
    x = 570.09

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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.