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Finding the Fourth Proportional to 591.10, 879.85 and 582.33

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Solution

The fourth proportional to 591.10, 879.85 and 582.33 is: 866.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.10 : 879.85 = 582.33 : x
  2. Step 2: Convert to fraction form
    591.10/879.85 = 582.33/x
  3. Step 3: Cross multiply
    591.10x = 879.85 × 582.33
  4. Step 4: Simplify right side
    591.10x = 512,360.07
  5. Step 5: Solve for x
    x = 512,360.07/591.10
  6. Step 6: Final answer
    x = 866.79

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Why These Related Problems?

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