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Finding the Fourth Proportional to 515.75, 772.28 and 433.30

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Solution

The fourth proportional to 515.75, 772.28 and 433.30 is: 648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.75 : 772.28 = 433.30 : x
  2. Step 2: Convert to fraction form
    515.75/772.28 = 433.30/x
  3. Step 3: Cross multiply
    515.75x = 772.28 × 433.30
  4. Step 4: Simplify right side
    515.75x = 334,628.92
  5. Step 5: Solve for x
    x = 334,628.92/515.75
  6. Step 6: Final answer
    x = 648.82

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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.