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Finding the Fourth Proportional to 515.76, 773.76 and 323.28

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Solution

The fourth proportional to 515.76, 773.76 and 323.28 is: 485.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.76 : 773.76 = 323.28 : x
  2. Step 2: Convert to fraction form
    515.76/773.76 = 323.28/x
  3. Step 3: Cross multiply
    515.76x = 773.76 × 323.28
  4. Step 4: Simplify right side
    515.76x = 250,141.13
  5. Step 5: Solve for x
    x = 250,141.13/515.76
  6. Step 6: Final answer
    x = 485.00

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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.