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Finding the Fourth Proportional to 415.49, 574.49 and 323.01

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Solution

The fourth proportional to 415.49, 574.49 and 323.01 is: 446.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.49 : 574.49 = 323.01 : x
  2. Step 2: Convert to fraction form
    415.49/574.49 = 323.01/x
  3. Step 3: Cross multiply
    415.49x = 574.49 × 323.01
  4. Step 4: Simplify right side
    415.49x = 185,566.82
  5. Step 5: Solve for x
    x = 185,566.82/415.49
  6. Step 6: Final answer
    x = 446.63

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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.