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Finding the Fourth Proportional to 582.12, 873.42 and 274.17

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Solution

The fourth proportional to 582.12, 873.42 and 274.17 is: 411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.12 : 873.42 = 274.17 : x
  2. Step 2: Convert to fraction form
    582.12/873.42 = 274.17/x
  3. Step 3: Cross multiply
    582.12x = 873.42 × 274.17
  4. Step 4: Simplify right side
    582.12x = 239,465.56
  5. Step 5: Solve for x
    x = 239,465.56/582.12
  6. Step 6: Final answer
    x = 411.37

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Why These Related Problems?

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