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Finding the Fourth Proportional to 462.22, 692.16 and 245.32

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Solution

The fourth proportional to 462.22, 692.16 and 245.32 is: 367.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.22 : 692.16 = 245.32 : x
  2. Step 2: Convert to fraction form
    462.22/692.16 = 245.32/x
  3. Step 3: Cross multiply
    462.22x = 692.16 × 245.32
  4. Step 4: Simplify right side
    462.22x = 169,800.69
  5. Step 5: Solve for x
    x = 169,800.69/462.22
  6. Step 6: Final answer
    x = 367.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.