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Finding the Fourth Proportional to 579.20, 867.27 and 535.82

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Solution

The fourth proportional to 579.20, 867.27 and 535.82 is: 802.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.20 : 867.27 = 535.82 : x
  2. Step 2: Convert to fraction form
    579.20/867.27 = 535.82/x
  3. Step 3: Cross multiply
    579.20x = 867.27 × 535.82
  4. Step 4: Simplify right side
    579.20x = 464,700.61
  5. Step 5: Solve for x
    x = 464,700.61/579.20
  6. Step 6: Final answer
    x = 802.31

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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.