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Finding the Fourth Proportional to 473.05, 652.48 and 333.46

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Solution

The fourth proportional to 473.05, 652.48 and 333.46 is: 459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.05 : 652.48 = 333.46 : x
  2. Step 2: Convert to fraction form
    473.05/652.48 = 333.46/x
  3. Step 3: Cross multiply
    473.05x = 652.48 × 333.46
  4. Step 4: Simplify right side
    473.05x = 217,575.98
  5. Step 5: Solve for x
    x = 217,575.98/473.05
  6. Step 6: Final answer
    x = 459.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.