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Finding the Fourth Proportional to 473.24, 652.68 and 333.20

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Solution

The fourth proportional to 473.24, 652.68 and 333.20 is: 459.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.24 : 652.68 = 333.20 : x
  2. Step 2: Convert to fraction form
    473.24/652.68 = 333.20/x
  3. Step 3: Cross multiply
    473.24x = 652.68 × 333.20
  4. Step 4: Simplify right side
    473.24x = 217,472.98
  5. Step 5: Solve for x
    x = 217,472.98/473.24
  6. Step 6: Final answer
    x = 459.54

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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.