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Finding the Fourth Proportional to 581.24, 802.06 and 319.27

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Solution

The fourth proportional to 581.24, 802.06 and 319.27 is: 440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.24 : 802.06 = 319.27 : x
  2. Step 2: Convert to fraction form
    581.24/802.06 = 319.27/x
  3. Step 3: Cross multiply
    581.24x = 802.06 × 319.27
  4. Step 4: Simplify right side
    581.24x = 256,073.70
  5. Step 5: Solve for x
    x = 256,073.70/581.24
  6. Step 6: Final answer
    x = 440.56

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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.