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Finding the Fourth Proportional to 500.34, 692 and 396.46

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Solution

The fourth proportional to 500.34, 692 and 396.46 is: 548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.34 : 692 = 396.46 : x
  2. Step 2: Convert to fraction form
    500.34/692 = 396.46/x
  3. Step 3: Cross multiply
    500.34x = 692 × 396.46
  4. Step 4: Simplify right side
    500.34x = 274,350.32
  5. Step 5: Solve for x
    x = 274,350.32/500.34
  6. Step 6: Final answer
    x = 548.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.