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Finding the Fourth Proportional to 581.75, 802.82 and 319.77

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Solution

The fourth proportional to 581.75, 802.82 and 319.77 is: 441.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.75 : 802.82 = 319.77 : x
  2. Step 2: Convert to fraction form
    581.75/802.82 = 319.77/x
  3. Step 3: Cross multiply
    581.75x = 802.82 × 319.77
  4. Step 4: Simplify right side
    581.75x = 256,717.75
  5. Step 5: Solve for x
    x = 256,717.75/581.75
  6. Step 6: Final answer
    x = 441.29

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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.