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Finding the Fourth Proportional to 581.34, 802.22 and 319.36

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Solution

The fourth proportional to 581.34, 802.22 and 319.36 is: 440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.34 : 802.22 = 319.36 : x
  2. Step 2: Convert to fraction form
    581.34/802.22 = 319.36/x
  3. Step 3: Cross multiply
    581.34x = 802.22 × 319.36
  4. Step 4: Simplify right side
    581.34x = 256,196.98
  5. Step 5: Solve for x
    x = 256,196.98/581.34
  6. Step 6: Final answer
    x = 440.70

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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.