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Finding the Fourth Proportional to 461.42, 692.13 and 204.92

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Solution

The fourth proportional to 461.42, 692.13 and 204.92 is: 307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.42 : 692.13 = 204.92 : x
  2. Step 2: Convert to fraction form
    461.42/692.13 = 204.92/x
  3. Step 3: Cross multiply
    461.42x = 692.13 × 204.92
  4. Step 4: Simplify right side
    461.42x = 141,831.28
  5. Step 5: Solve for x
    x = 141,831.28/461.42
  6. Step 6: Final answer
    x = 307.38

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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.