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Finding the Fourth Proportional to 589, 812.76 and 340.33

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Solution

The fourth proportional to 589, 812.76 and 340.33 is: 469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    589 : 812.76 = 340.33 : x
  2. Step 2: Convert to fraction form
    589/812.76 = 340.33/x
  3. Step 3: Cross multiply
    589x = 812.76 × 340.33
  4. Step 4: Simplify right side
    589x = 276,606.61
  5. Step 5: Solve for x
    x = 276,606.61/589
  6. Step 6: Final answer
    x = 469.62

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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.