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Finding the Fourth Proportional to 433.52, 594.82 and 429.44

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Solution

The fourth proportional to 433.52, 594.82 and 429.44 is: 589.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.52 : 594.82 = 429.44 : x
  2. Step 2: Convert to fraction form
    433.52/594.82 = 429.44/x
  3. Step 3: Cross multiply
    433.52x = 594.82 × 429.44
  4. Step 4: Simplify right side
    433.52x = 255,439.50
  5. Step 5: Solve for x
    x = 255,439.50/433.52
  6. Step 6: Final answer
    x = 589.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.