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Finding the Fourth Proportional to 596.04, 821.46 and 440.52

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Solution

The fourth proportional to 596.04, 821.46 and 440.52 is: 607.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.04 : 821.46 = 440.52 : x
  2. Step 2: Convert to fraction form
    596.04/821.46 = 440.52/x
  3. Step 3: Cross multiply
    596.04x = 821.46 × 440.52
  4. Step 4: Simplify right side
    596.04x = 361,869.56
  5. Step 5: Solve for x
    x = 361,869.56/596.04
  6. Step 6: Final answer
    x = 607.12

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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.