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Finding the Fourth Proportional to 462.70, 692.70 and 449.20

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Solution

The fourth proportional to 462.70, 692.70 and 449.20 is: 672.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.70 : 692.70 = 449.20 : x
  2. Step 2: Convert to fraction form
    462.70/692.70 = 449.20/x
  3. Step 3: Cross multiply
    462.70x = 692.70 × 449.20
  4. Step 4: Simplify right side
    462.70x = 311,160.84
  5. Step 5: Solve for x
    x = 311,160.84/462.70
  6. Step 6: Final answer
    x = 672.49

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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.