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Finding the Fourth Proportional to 589.25, 812.33 and 423.18

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Solution

The fourth proportional to 589.25, 812.33 and 423.18 is: 583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.25 : 812.33 = 423.18 : x
  2. Step 2: Convert to fraction form
    589.25/812.33 = 423.18/x
  3. Step 3: Cross multiply
    589.25x = 812.33 × 423.18
  4. Step 4: Simplify right side
    589.25x = 343,761.81
  5. Step 5: Solve for x
    x = 343,761.81/589.25
  6. Step 6: Final answer
    x = 583.39

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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.