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Finding the Fourth Proportional to 463.50, 692.37 and 381.96

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Solution

The fourth proportional to 463.50, 692.37 and 381.96 is: 570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.50 : 692.37 = 381.96 : x
  2. Step 2: Convert to fraction form
    463.50/692.37 = 381.96/x
  3. Step 3: Cross multiply
    463.50x = 692.37 × 381.96
  4. Step 4: Simplify right side
    463.50x = 264,457.65
  5. Step 5: Solve for x
    x = 264,457.65/463.50
  6. Step 6: Final answer
    x = 570.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.