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Finding the Fourth Proportional to 582.97, 804.53 and 334.27

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Solution

The fourth proportional to 582.97, 804.53 and 334.27 is: 461.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.97 : 804.53 = 334.27 : x
  2. Step 2: Convert to fraction form
    582.97/804.53 = 334.27/x
  3. Step 3: Cross multiply
    582.97x = 804.53 × 334.27
  4. Step 4: Simplify right side
    582.97x = 268,928.57
  5. Step 5: Solve for x
    x = 268,928.57/582.97
  6. Step 6: Final answer
    x = 461.31

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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.