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Finding the Fourth Proportional to 433.98, 651.24 and 297.27

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Solution

The fourth proportional to 433.98, 651.24 and 297.27 is: 446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.98 : 651.24 = 297.27 : x
  2. Step 2: Convert to fraction form
    433.98/651.24 = 297.27/x
  3. Step 3: Cross multiply
    433.98x = 651.24 × 297.27
  4. Step 4: Simplify right side
    433.98x = 193,594.11
  5. Step 5: Solve for x
    x = 193,594.11/433.98
  6. Step 6: Final answer
    x = 446.09

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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.