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Finding the Fourth Proportional to 692.65, 955.89 and 409.24

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Solution

The fourth proportional to 692.65, 955.89 and 409.24 is: 564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.65 : 955.89 = 409.24 : x
  2. Step 2: Convert to fraction form
    692.65/955.89 = 409.24/x
  3. Step 3: Cross multiply
    692.65x = 955.89 × 409.24
  4. Step 4: Simplify right side
    692.65x = 391,188.42
  5. Step 5: Solve for x
    x = 391,188.42/692.65
  6. Step 6: Final answer
    x = 564.77

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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.