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Finding the Fourth Proportional to 589.69, 813.67 and 356.82

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Solution

The fourth proportional to 589.69, 813.67 and 356.82 is: 492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.69 : 813.67 = 356.82 : x
  2. Step 2: Convert to fraction form
    589.69/813.67 = 356.82/x
  3. Step 3: Cross multiply
    589.69x = 813.67 × 356.82
  4. Step 4: Simplify right side
    589.69x = 290,333.73
  5. Step 5: Solve for x
    x = 290,333.73/589.69
  6. Step 6: Final answer
    x = 492.35

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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.