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Finding the Fourth Proportional to 535.86, 802.89 and 381.51

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Solution

The fourth proportional to 535.86, 802.89 and 381.51 is: 571.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.86 : 802.89 = 381.51 : x
  2. Step 2: Convert to fraction form
    535.86/802.89 = 381.51/x
  3. Step 3: Cross multiply
    535.86x = 802.89 × 381.51
  4. Step 4: Simplify right side
    535.86x = 306,310.56
  5. Step 5: Solve for x
    x = 306,310.56/535.86
  6. Step 6: Final answer
    x = 571.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.