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Finding the Fourth Proportional to 589.09, 812.88 and 327.10

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Solution

The fourth proportional to 589.09, 812.88 and 327.10 is: 451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.09 : 812.88 = 327.10 : x
  2. Step 2: Convert to fraction form
    589.09/812.88 = 327.10/x
  3. Step 3: Cross multiply
    589.09x = 812.88 × 327.10
  4. Step 4: Simplify right side
    589.09x = 265,893.05
  5. Step 5: Solve for x
    x = 265,893.05/589.09
  6. Step 6: Final answer
    x = 451.36

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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.