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Finding the Fourth Proportional to 461.73, 692.54 and 214.78

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Solution

The fourth proportional to 461.73, 692.54 and 214.78 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.73 : 692.54 = 214.78 : x
  2. Step 2: Convert to fraction form
    461.73/692.54 = 214.78/x
  3. Step 3: Cross multiply
    461.73x = 692.54 × 214.78
  4. Step 4: Simplify right side
    461.73x = 148,743.74
  5. Step 5: Solve for x
    x = 148,743.74/461.73
  6. Step 6: Final answer
    x = 322.14

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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.