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Finding the Fourth Proportional to 692.99, 956.14 and 413.10

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Solution

The fourth proportional to 692.99, 956.14 and 413.10 is: 569.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.99 : 956.14 = 413.10 : x
  2. Step 2: Convert to fraction form
    692.99/956.14 = 413.10/x
  3. Step 3: Cross multiply
    692.99x = 956.14 × 413.10
  4. Step 4: Simplify right side
    692.99x = 394,980.40
  5. Step 5: Solve for x
    x = 394,980.40/692.99
  6. Step 6: Final answer
    x = 569.97

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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.