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Finding the Fourth Proportional to 589.24, 812.91 and 412.15

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Solution

The fourth proportional to 589.24, 812.91 and 412.15 is: 568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.24 : 812.91 = 412.15 : x
  2. Step 2: Convert to fraction form
    589.24/812.91 = 412.15/x
  3. Step 3: Cross multiply
    589.24x = 812.91 × 412.15
  4. Step 4: Simplify right side
    589.24x = 335,040.86
  5. Step 5: Solve for x
    x = 335,040.86/589.24
  6. Step 6: Final answer
    x = 568.60

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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.