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Finding the Fourth Proportional to 582.67, 873.33 and 274.33

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Solution

The fourth proportional to 582.67, 873.33 and 274.33 is: 411.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.67 : 873.33 = 274.33 : x
  2. Step 2: Convert to fraction form
    582.67/873.33 = 274.33/x
  3. Step 3: Cross multiply
    582.67x = 873.33 × 274.33
  4. Step 4: Simplify right side
    582.67x = 239,580.62
  5. Step 5: Solve for x
    x = 239,580.62/582.67
  6. Step 6: Final answer
    x = 411.18

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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.