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Finding the Fourth Proportional to 582.69, 804.11 and 334.07

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Solution

The fourth proportional to 582.69, 804.11 and 334.07 is: 461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.69 : 804.11 = 334.07 : x
  2. Step 2: Convert to fraction form
    582.69/804.11 = 334.07/x
  3. Step 3: Cross multiply
    582.69x = 804.11 × 334.07
  4. Step 4: Simplify right side
    582.69x = 268,629.03
  5. Step 5: Solve for x
    x = 268,629.03/582.69
  6. Step 6: Final answer
    x = 461.02

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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.