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Finding the Fourth Proportional to 581.77, 802.89 and 319.79

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Solution

The fourth proportional to 581.77, 802.89 and 319.79 is: 441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.77 : 802.89 = 319.79 : x
  2. Step 2: Convert to fraction form
    581.77/802.89 = 319.79/x
  3. Step 3: Cross multiply
    581.77x = 802.89 × 319.79
  4. Step 4: Simplify right side
    581.77x = 256,754.59
  5. Step 5: Solve for x
    x = 256,754.59/581.77
  6. Step 6: Final answer
    x = 441.33

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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.