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Finding the Fourth Proportional to 582.09, 873.41 and 274.14

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Solution

The fourth proportional to 582.09, 873.41 and 274.14 is: 411.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.09 : 873.41 = 274.14 : x
  2. Step 2: Convert to fraction form
    582.09/873.41 = 274.14/x
  3. Step 3: Cross multiply
    582.09x = 873.41 × 274.14
  4. Step 4: Simplify right side
    582.09x = 239,436.62
  5. Step 5: Solve for x
    x = 239,436.62/582.09
  6. Step 6: Final answer
    x = 411.34

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Double scale
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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.