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Finding the Fourth Proportional to 589.32, 813.33 and 412.11

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Solution

The fourth proportional to 589.32, 813.33 and 412.11 is: 568.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.32 : 813.33 = 412.11 : x
  2. Step 2: Convert to fraction form
    589.32/813.33 = 412.11/x
  3. Step 3: Cross multiply
    589.32x = 813.33 × 412.11
  4. Step 4: Simplify right side
    589.32x = 335,181.43
  5. Step 5: Solve for x
    x = 335,181.43/589.32
  6. Step 6: Final answer
    x = 568.76

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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.