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Finding the Fourth Proportional to 582.88, 804.49 and 334.37

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Solution

The fourth proportional to 582.88, 804.49 and 334.37 is: 461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 804.49 = 334.37 : x
  2. Step 2: Convert to fraction form
    582.88/804.49 = 334.37/x
  3. Step 3: Cross multiply
    582.88x = 804.49 × 334.37
  4. Step 4: Simplify right side
    582.88x = 268,996.73
  5. Step 5: Solve for x
    x = 268,996.73/582.88
  6. Step 6: Final answer
    x = 461.49

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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.