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Finding the Fourth Proportional to 462.63, 692.64 and 308.19

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Solution

The fourth proportional to 462.63, 692.64 and 308.19 is: 461.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.63 : 692.64 = 308.19 : x
  2. Step 2: Convert to fraction form
    462.63/692.64 = 308.19/x
  3. Step 3: Cross multiply
    462.63x = 692.64 × 308.19
  4. Step 4: Simplify right side
    462.63x = 213,464.72
  5. Step 5: Solve for x
    x = 213,464.72/462.63
  6. Step 6: Final answer
    x = 461.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.