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Finding the Fourth Proportional to 461.81, 692.96 and 307.80

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Solution

The fourth proportional to 461.81, 692.96 and 307.80 is: 461.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.81 : 692.96 = 307.80 : x
  2. Step 2: Convert to fraction form
    461.81/692.96 = 307.80/x
  3. Step 3: Cross multiply
    461.81x = 692.96 × 307.80
  4. Step 4: Simplify right side
    461.81x = 213,291.55
  5. Step 5: Solve for x
    x = 213,291.55/461.81
  6. Step 6: Final answer
    x = 461.86

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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.