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Finding the Fourth Proportional to 585.62, 806.96 and 583.34

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Solution

The fourth proportional to 585.62, 806.96 and 583.34 is: 803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.62 : 806.96 = 583.34 : x
  2. Step 2: Convert to fraction form
    585.62/806.96 = 583.34/x
  3. Step 3: Cross multiply
    585.62x = 806.96 × 583.34
  4. Step 4: Simplify right side
    585.62x = 470,732.05
  5. Step 5: Solve for x
    x = 470,732.05/585.62
  6. Step 6: Final answer
    x = 803.82

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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.