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Finding the Fourth Proportional to 586.57, 809.26 and 376.73

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Solution

The fourth proportional to 586.57, 809.26 and 376.73 is: 519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.57 : 809.26 = 376.73 : x
  2. Step 2: Convert to fraction form
    586.57/809.26 = 376.73/x
  3. Step 3: Cross multiply
    586.57x = 809.26 × 376.73
  4. Step 4: Simplify right side
    586.57x = 304,866.59
  5. Step 5: Solve for x
    x = 304,866.59/586.57
  6. Step 6: Final answer
    x = 519.75

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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.