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Finding the Fourth Proportional to 586.94, 809.87 and 338.27

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Solution

The fourth proportional to 586.94, 809.87 and 338.27 is: 466.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.94 : 809.87 = 338.27 : x
  2. Step 2: Convert to fraction form
    586.94/809.87 = 338.27/x
  3. Step 3: Cross multiply
    586.94x = 809.87 × 338.27
  4. Step 4: Simplify right side
    586.94x = 273,957.60
  5. Step 5: Solve for x
    x = 273,957.60/586.94
  6. Step 6: Final answer
    x = 466.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.