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Finding the Fourth Proportional to 462.09, 692.23 and 298.98

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Solution

The fourth proportional to 462.09, 692.23 and 298.98 is: 447.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.09 : 692.23 = 298.98 : x
  2. Step 2: Convert to fraction form
    462.09/692.23 = 298.98/x
  3. Step 3: Cross multiply
    462.09x = 692.23 × 298.98
  4. Step 4: Simplify right side
    462.09x = 206,962.93
  5. Step 5: Solve for x
    x = 206,962.93/462.09
  6. Step 6: Final answer
    x = 447.88

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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.