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Finding the Fourth Proportional to 461.45, 692.22 and 299.45

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Solution

The fourth proportional to 461.45, 692.22 and 299.45 is: 449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.45 : 692.22 = 299.45 : x
  2. Step 2: Convert to fraction form
    461.45/692.22 = 299.45/x
  3. Step 3: Cross multiply
    461.45x = 692.22 × 299.45
  4. Step 4: Simplify right side
    461.45x = 207,285.28
  5. Step 5: Solve for x
    x = 207,285.28/461.45
  6. Step 6: Final answer
    x = 449.20

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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.