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Finding the Fourth Proportional to 462.26, 692.49 and 307.82

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Solution

The fourth proportional to 462.26, 692.49 and 307.82 is: 461.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.26 : 692.49 = 307.82 : x
  2. Step 2: Convert to fraction form
    462.26/692.49 = 307.82/x
  3. Step 3: Cross multiply
    462.26x = 692.49 × 307.82
  4. Step 4: Simplify right side
    462.26x = 213,162.27
  5. Step 5: Solve for x
    x = 213,162.27/462.26
  6. Step 6: Final answer
    x = 461.13

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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.