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Finding the Fourth Proportional to 433.80, 651.34 and 412.92

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Solution

The fourth proportional to 433.80, 651.34 and 412.92 is: 619.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.80 : 651.34 = 412.92 : x
  2. Step 2: Convert to fraction form
    433.80/651.34 = 412.92/x
  3. Step 3: Cross multiply
    433.80x = 651.34 × 412.92
  4. Step 4: Simplify right side
    433.80x = 268,951.31
  5. Step 5: Solve for x
    x = 268,951.31/433.80
  6. Step 6: Final answer
    x = 619.99

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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.