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Finding the Fourth Proportional to 464.09, 692.69 and 409.42

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Solution

The fourth proportional to 464.09, 692.69 and 409.42 is: 611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.09 : 692.69 = 409.42 : x
  2. Step 2: Convert to fraction form
    464.09/692.69 = 409.42/x
  3. Step 3: Cross multiply
    464.09x = 692.69 × 409.42
  4. Step 4: Simplify right side
    464.09x = 283,601.14
  5. Step 5: Solve for x
    x = 283,601.14/464.09
  6. Step 6: Final answer
    x = 611.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.