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Finding the Fourth Proportional to 581.78, 802.04 and 385.22

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Solution

The fourth proportional to 581.78, 802.04 and 385.22 is: 531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.78 : 802.04 = 385.22 : x
  2. Step 2: Convert to fraction form
    581.78/802.04 = 385.22/x
  3. Step 3: Cross multiply
    581.78x = 802.04 × 385.22
  4. Step 4: Simplify right side
    581.78x = 308,961.85
  5. Step 5: Solve for x
    x = 308,961.85/581.78
  6. Step 6: Final answer
    x = 531.06

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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.