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Finding the Fourth Proportional to 582.36, 867.43 and 581.24

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Solution

The fourth proportional to 582.36, 867.43 and 581.24 is: 865.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.36 : 867.43 = 581.24 : x
  2. Step 2: Convert to fraction form
    582.36/867.43 = 581.24/x
  3. Step 3: Cross multiply
    582.36x = 867.43 × 581.24
  4. Step 4: Simplify right side
    582.36x = 504,185.01
  5. Step 5: Solve for x
    x = 504,185.01/582.36
  6. Step 6: Final answer
    x = 865.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.