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Finding the Fourth Proportional to 589.81, 813.89 and 341.09

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Solution

The fourth proportional to 589.81, 813.89 and 341.09 is: 470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.81 : 813.89 = 341.09 : x
  2. Step 2: Convert to fraction form
    589.81/813.89 = 341.09/x
  3. Step 3: Cross multiply
    589.81x = 813.89 × 341.09
  4. Step 4: Simplify right side
    589.81x = 277,606.52
  5. Step 5: Solve for x
    x = 277,606.52/589.81
  6. Step 6: Final answer
    x = 470.67

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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.