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Finding the Fourth Proportional to 589.62, 812.89 and 412.35

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Solution

The fourth proportional to 589.62, 812.89 and 412.35 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.62 : 812.89 = 412.35 : x
  2. Step 2: Convert to fraction form
    589.62/812.89 = 412.35/x
  3. Step 3: Cross multiply
    589.62x = 812.89 × 412.35
  4. Step 4: Simplify right side
    589.62x = 335,190.34
  5. Step 5: Solve for x
    x = 335,190.34/589.62
  6. Step 6: Final answer
    x = 568.48

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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.