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Finding the Fourth Proportional to 585.37, 802.09 and 579.97

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Solution

The fourth proportional to 585.37, 802.09 and 579.97 is: 794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.37 : 802.09 = 579.97 : x
  2. Step 2: Convert to fraction form
    585.37/802.09 = 579.97/x
  3. Step 3: Cross multiply
    585.37x = 802.09 × 579.97
  4. Step 4: Simplify right side
    585.37x = 465,185.24
  5. Step 5: Solve for x
    x = 465,185.24/585.37
  6. Step 6: Final answer
    x = 794.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.