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Finding the Fourth Proportional to 582.32, 873.68 and 274.41

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Solution

The fourth proportional to 582.32, 873.68 and 274.41 is: 411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.32 : 873.68 = 274.41 : x
  2. Step 2: Convert to fraction form
    582.32/873.68 = 274.41/x
  3. Step 3: Cross multiply
    582.32x = 873.68 × 274.41
  4. Step 4: Simplify right side
    582.32x = 239,745.16
  5. Step 5: Solve for x
    x = 239,745.16/582.32
  6. Step 6: Final answer
    x = 411.71

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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.