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Finding the Fourth Proportional to 472.99, 652.23 and 333.06

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Solution

The fourth proportional to 472.99, 652.23 and 333.06 is: 459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.99 : 652.23 = 333.06 : x
  2. Step 2: Convert to fraction form
    472.99/652.23 = 333.06/x
  3. Step 3: Cross multiply
    472.99x = 652.23 × 333.06
  4. Step 4: Simplify right side
    472.99x = 217,231.72
  5. Step 5: Solve for x
    x = 217,231.72/472.99
  6. Step 6: Final answer
    x = 459.27

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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.