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Finding the Fourth Proportional to 589.09, 812.94 and 340.41

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Solution

The fourth proportional to 589.09, 812.94 and 340.41 is: 469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.09 : 812.94 = 340.41 : x
  2. Step 2: Convert to fraction form
    589.09/812.94 = 340.41/x
  3. Step 3: Cross multiply
    589.09x = 812.94 × 340.41
  4. Step 4: Simplify right side
    589.09x = 276,732.91
  5. Step 5: Solve for x
    x = 276,732.91/589.09
  6. Step 6: Final answer
    x = 469.76

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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.