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Finding the Fourth Proportional to 461.56, 692.58 and 205

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Solution

The fourth proportional to 461.56, 692.58 and 205 is: 307.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.56 : 692.58 = 205 : x
  2. Step 2: Convert to fraction form
    461.56/692.58 = 205/x
  3. Step 3: Cross multiply
    461.56x = 692.58 × 205
  4. Step 4: Simplify right side
    461.56x = 141,978.90
  5. Step 5: Solve for x
    x = 141,978.90/461.56
  6. Step 6: Final answer
    x = 307.61

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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.