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Finding the Fourth Proportional to 581.33, 802.23 and 319.34

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Solution

The fourth proportional to 581.33, 802.23 and 319.34 is: 440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.33 : 802.23 = 319.34 : x
  2. Step 2: Convert to fraction form
    581.33/802.23 = 319.34/x
  3. Step 3: Cross multiply
    581.33x = 802.23 × 319.34
  4. Step 4: Simplify right side
    581.33x = 256,180.12
  5. Step 5: Solve for x
    x = 256,180.12/581.33
  6. Step 6: Final answer
    x = 440.68

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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.