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Finding the Fourth Proportional to 462.38, 692.96 and 385.83

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Solution

The fourth proportional to 462.38, 692.96 and 385.83 is: 578.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.38 : 692.96 = 385.83 : x
  2. Step 2: Convert to fraction form
    462.38/692.96 = 385.83/x
  3. Step 3: Cross multiply
    462.38x = 692.96 × 385.83
  4. Step 4: Simplify right side
    462.38x = 267,362.83
  5. Step 5: Solve for x
    x = 267,362.83/462.38
  6. Step 6: Final answer
    x = 578.24

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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.