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Finding the Fourth Proportional to 581.56, 802.44 and 348.76

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Solution

The fourth proportional to 581.56, 802.44 and 348.76 is: 481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.56 : 802.44 = 348.76 : x
  2. Step 2: Convert to fraction form
    581.56/802.44 = 348.76/x
  3. Step 3: Cross multiply
    581.56x = 802.44 × 348.76
  4. Step 4: Simplify right side
    581.56x = 279,858.97
  5. Step 5: Solve for x
    x = 279,858.97/581.56
  6. Step 6: Final answer
    x = 481.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.