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Finding the Fourth Proportional to 589.55, 812.19 and 491.12

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Solution

The fourth proportional to 589.55, 812.19 and 491.12 is: 676.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.55 : 812.19 = 491.12 : x
  2. Step 2: Convert to fraction form
    589.55/812.19 = 491.12/x
  3. Step 3: Cross multiply
    589.55x = 812.19 × 491.12
  4. Step 4: Simplify right side
    589.55x = 398,882.75
  5. Step 5: Solve for x
    x = 398,882.75/589.55
  6. Step 6: Final answer
    x = 676.59

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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.