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Finding the Fourth Proportional to 461.60, 692.41 and 369.87

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Solution

The fourth proportional to 461.60, 692.41 and 369.87 is: 554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.60 : 692.41 = 369.87 : x
  2. Step 2: Convert to fraction form
    461.60/692.41 = 369.87/x
  3. Step 3: Cross multiply
    461.60x = 692.41 × 369.87
  4. Step 4: Simplify right side
    461.60x = 256,101.69
  5. Step 5: Solve for x
    x = 256,101.69/461.60
  6. Step 6: Final answer
    x = 554.81

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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.