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Finding the Fourth Proportional to 581.09, 802.26 and 518.81

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Solution

The fourth proportional to 581.09, 802.26 and 518.81 is: 716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.09 : 802.26 = 518.81 : x
  2. Step 2: Convert to fraction form
    581.09/802.26 = 518.81/x
  3. Step 3: Cross multiply
    581.09x = 802.26 × 518.81
  4. Step 4: Simplify right side
    581.09x = 416,216.50
  5. Step 5: Solve for x
    x = 416,216.50/581.09
  6. Step 6: Final answer
    x = 716.27

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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.