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Finding the Fourth Proportional to 462.11, 692.22 and 307.54

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Solution

The fourth proportional to 462.11, 692.22 and 307.54 is: 460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.11 : 692.22 = 307.54 : x
  2. Step 2: Convert to fraction form
    462.11/692.22 = 307.54/x
  3. Step 3: Cross multiply
    462.11x = 692.22 × 307.54
  4. Step 4: Simplify right side
    462.11x = 212,883.75
  5. Step 5: Solve for x
    x = 212,883.75/462.11
  6. Step 6: Final answer
    x = 460.68

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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.