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Finding the Fourth Proportional to 461.61, 692.01 and 244.94

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Solution

The fourth proportional to 461.61, 692.01 and 244.94 is: 367.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.61 : 692.01 = 244.94 : x
  2. Step 2: Convert to fraction form
    461.61/692.01 = 244.94/x
  3. Step 3: Cross multiply
    461.61x = 692.01 × 244.94
  4. Step 4: Simplify right side
    461.61x = 169,497.47
  5. Step 5: Solve for x
    x = 169,497.47/461.61
  6. Step 6: Final answer
    x = 367.19

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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.