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Finding the Fourth Proportional to 646.37, 967.10 and 396.27

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Solution

The fourth proportional to 646.37, 967.10 and 396.27 is: 592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.37 : 967.10 = 396.27 : x
  2. Step 2: Convert to fraction form
    646.37/967.10 = 396.27/x
  3. Step 3: Cross multiply
    646.37x = 967.10 × 396.27
  4. Step 4: Simplify right side
    646.37x = 383,236.92
  5. Step 5: Solve for x
    x = 383,236.92/646.37
  6. Step 6: Final answer
    x = 592.91

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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.