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Finding the Fourth Proportional to 433.26, 596.60 and 293.34

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Solution

The fourth proportional to 433.26, 596.60 and 293.34 is: 403.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.26 : 596.60 = 293.34 : x
  2. Step 2: Convert to fraction form
    433.26/596.60 = 293.34/x
  3. Step 3: Cross multiply
    433.26x = 596.60 × 293.34
  4. Step 4: Simplify right side
    433.26x = 175,006.64
  5. Step 5: Solve for x
    x = 175,006.64/433.26
  6. Step 6: Final answer
    x = 403.93

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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.