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Finding the Fourth Proportional to 582.49, 804.23 and 386.56

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Solution

The fourth proportional to 582.49, 804.23 and 386.56 is: 533.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.49 : 804.23 = 386.56 : x
  2. Step 2: Convert to fraction form
    582.49/804.23 = 386.56/x
  3. Step 3: Cross multiply
    582.49x = 804.23 × 386.56
  4. Step 4: Simplify right side
    582.49x = 310,883.15
  5. Step 5: Solve for x
    x = 310,883.15/582.49
  6. Step 6: Final answer
    x = 533.71

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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.