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Finding the Fourth Proportional to 585.68, 809.33 and 420.44

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Solution

The fourth proportional to 585.68, 809.33 and 420.44 is: 580.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.68 : 809.33 = 420.44 : x
  2. Step 2: Convert to fraction form
    585.68/809.33 = 420.44/x
  3. Step 3: Cross multiply
    585.68x = 809.33 × 420.44
  4. Step 4: Simplify right side
    585.68x = 340,268.56
  5. Step 5: Solve for x
    x = 340,268.56/585.68
  6. Step 6: Final answer
    x = 580.99

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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.