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Finding the Fourth Proportional to 692.81, 956.27 and 409.48

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Solution

The fourth proportional to 692.81, 956.27 and 409.48 is: 565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.81 : 956.27 = 409.48 : x
  2. Step 2: Convert to fraction form
    692.81/956.27 = 409.48/x
  3. Step 3: Cross multiply
    692.81x = 956.27 × 409.48
  4. Step 4: Simplify right side
    692.81x = 391,573.44
  5. Step 5: Solve for x
    x = 391,573.44/692.81
  6. Step 6: Final answer
    x = 565.20

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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.