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Finding the Fourth Proportional to 589.91, 813.84 and 412.82

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Solution

The fourth proportional to 589.91, 813.84 and 412.82 is: 569.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.91 : 813.84 = 412.82 : x
  2. Step 2: Convert to fraction form
    589.91/813.84 = 412.82/x
  3. Step 3: Cross multiply
    589.91x = 813.84 × 412.82
  4. Step 4: Simplify right side
    589.91x = 335,967.36
  5. Step 5: Solve for x
    x = 335,967.36/589.91
  6. Step 6: Final answer
    x = 569.53

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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.