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Finding the Fourth Proportional to 584.33, 877.14 and 582.16

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Solution

The fourth proportional to 584.33, 877.14 and 582.16 is: 873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.33 : 877.14 = 582.16 : x
  2. Step 2: Convert to fraction form
    584.33/877.14 = 582.16/x
  3. Step 3: Cross multiply
    584.33x = 877.14 × 582.16
  4. Step 4: Simplify right side
    584.33x = 510,629.33
  5. Step 5: Solve for x
    x = 510,629.33/584.33
  6. Step 6: Final answer
    x = 873.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.