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Finding the Fourth Proportional to 433.60, 596.31 and 378.37

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Solution

The fourth proportional to 433.60, 596.31 and 378.37 is: 520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.60 : 596.31 = 378.37 : x
  2. Step 2: Convert to fraction form
    433.60/596.31 = 378.37/x
  3. Step 3: Cross multiply
    433.60x = 596.31 × 378.37
  4. Step 4: Simplify right side
    433.60x = 225,625.81
  5. Step 5: Solve for x
    x = 225,625.81/433.60
  6. Step 6: Final answer
    x = 520.35

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Why These Related Problems?

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