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Finding the Fourth Proportional to 589.11, 812.04 and 464.58

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Solution

The fourth proportional to 589.11, 812.04 and 464.58 is: 640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.11 : 812.04 = 464.58 : x
  2. Step 2: Convert to fraction form
    589.11/812.04 = 464.58/x
  3. Step 3: Cross multiply
    589.11x = 812.04 × 464.58
  4. Step 4: Simplify right side
    589.11x = 377,257.54
  5. Step 5: Solve for x
    x = 377,257.54/589.11
  6. Step 6: Final answer
    x = 640.39

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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.