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Finding the Fourth Proportional to 415.99, 574.46 and 338.23

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Solution

The fourth proportional to 415.99, 574.46 and 338.23 is: 467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.99 : 574.46 = 338.23 : x
  2. Step 2: Convert to fraction form
    415.99/574.46 = 338.23/x
  3. Step 3: Cross multiply
    415.99x = 574.46 × 338.23
  4. Step 4: Simplify right side
    415.99x = 194,299.61
  5. Step 5: Solve for x
    x = 194,299.61/415.99
  6. Step 6: Final answer
    x = 467.08

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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.