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Finding the Fourth Proportional to 581.82, 802.90 and 319.84

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Solution

The fourth proportional to 581.82, 802.90 and 319.84 is: 441.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.82 : 802.90 = 319.84 : x
  2. Step 2: Convert to fraction form
    581.82/802.90 = 319.84/x
  3. Step 3: Cross multiply
    581.82x = 802.90 × 319.84
  4. Step 4: Simplify right side
    581.82x = 256,799.54
  5. Step 5: Solve for x
    x = 256,799.54/581.82
  6. Step 6: Final answer
    x = 441.37

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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.