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Finding the Fourth Proportional to 589.77, 813.89 and 324.22

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Solution

The fourth proportional to 589.77, 813.89 and 324.22 is: 447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.77 : 813.89 = 324.22 : x
  2. Step 2: Convert to fraction form
    589.77/813.89 = 324.22/x
  3. Step 3: Cross multiply
    589.77x = 813.89 × 324.22
  4. Step 4: Simplify right side
    589.77x = 263,876.57
  5. Step 5: Solve for x
    x = 263,876.57/589.77
  6. Step 6: Final answer
    x = 447.42

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1.5x scale

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.