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Finding the Fourth Proportional to 581.36, 802.13 and 329.29

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Solution

The fourth proportional to 581.36, 802.13 and 329.29 is: 454.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.36 : 802.13 = 329.29 : x
  2. Step 2: Convert to fraction form
    581.36/802.13 = 329.29/x
  3. Step 3: Cross multiply
    581.36x = 802.13 × 329.29
  4. Step 4: Simplify right side
    581.36x = 264,136.63
  5. Step 5: Solve for x
    x = 264,136.63/581.36
  6. Step 6: Final answer
    x = 454.34

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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.