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Finding the Fourth Proportional to 462.21, 692.82 and 230.76

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Solution

The fourth proportional to 462.21, 692.82 and 230.76 is: 345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.21 : 692.82 = 230.76 : x
  2. Step 2: Convert to fraction form
    462.21/692.82 = 230.76/x
  3. Step 3: Cross multiply
    462.21x = 692.82 × 230.76
  4. Step 4: Simplify right side
    462.21x = 159,875.14
  5. Step 5: Solve for x
    x = 159,875.14/462.21
  6. Step 6: Final answer
    x = 345.89

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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.