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Finding the Fourth Proportional to 589.05, 812.61 and 414.50

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Solution

The fourth proportional to 589.05, 812.61 and 414.50 is: 571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.05 : 812.61 = 414.50 : x
  2. Step 2: Convert to fraction form
    589.05/812.61 = 414.50/x
  3. Step 3: Cross multiply
    589.05x = 812.61 × 414.50
  4. Step 4: Simplify right side
    589.05x = 336,822.78
  5. Step 5: Solve for x
    x = 336,822.78/589.05
  6. Step 6: Final answer
    x = 571.81

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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.