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Finding the Fourth Proportional to 589.36, 884.14 and 276.94

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Solution

The fourth proportional to 589.36, 884.14 and 276.94 is: 415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.36 : 884.14 = 276.94 : x
  2. Step 2: Convert to fraction form
    589.36/884.14 = 276.94/x
  3. Step 3: Cross multiply
    589.36x = 884.14 × 276.94
  4. Step 4: Simplify right side
    589.36x = 244,853.73
  5. Step 5: Solve for x
    x = 244,853.73/589.36
  6. Step 6: Final answer
    x = 415.46

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1.5x scale

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.