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Finding the Fourth Proportional to 462.21, 692.65 and 305.78

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Solution

The fourth proportional to 462.21, 692.65 and 305.78 is: 458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.21 : 692.65 = 305.78 : x
  2. Step 2: Convert to fraction form
    462.21/692.65 = 305.78/x
  3. Step 3: Cross multiply
    462.21x = 692.65 × 305.78
  4. Step 4: Simplify right side
    462.21x = 211,795.44
  5. Step 5: Solve for x
    x = 211,795.44/462.21
  6. Step 6: Final answer
    x = 458.23

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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.