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Finding the Fourth Proportional to 461.80, 692.14 and 214.67

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Solution

The fourth proportional to 461.80, 692.14 and 214.67 is: 321.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.80 : 692.14 = 214.67 : x
  2. Step 2: Convert to fraction form
    461.80/692.14 = 214.67/x
  3. Step 3: Cross multiply
    461.80x = 692.14 × 214.67
  4. Step 4: Simplify right side
    461.80x = 148,579.20
  5. Step 5: Solve for x
    x = 148,579.20/461.80
  6. Step 6: Final answer
    x = 321.74

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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.