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Finding the Fourth Proportional to 581.28, 802.22 and 319.35

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Solution

The fourth proportional to 581.28, 802.22 and 319.35 is: 440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.28 : 802.22 = 319.35 : x
  2. Step 2: Convert to fraction form
    581.28/802.22 = 319.35/x
  3. Step 3: Cross multiply
    581.28x = 802.22 × 319.35
  4. Step 4: Simplify right side
    581.28x = 256,188.96
  5. Step 5: Solve for x
    x = 256,188.96/581.28
  6. Step 6: Final answer
    x = 440.73

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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.