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Finding the Fourth Proportional to 515.46, 772.41 and 309.63

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Solution

The fourth proportional to 515.46, 772.41 and 309.63 is: 463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.46 : 772.41 = 309.63 : x
  2. Step 2: Convert to fraction form
    515.46/772.41 = 309.63/x
  3. Step 3: Cross multiply
    515.46x = 772.41 × 309.63
  4. Step 4: Simplify right side
    515.46x = 239,161.31
  5. Step 5: Solve for x
    x = 239,161.31/515.46
  6. Step 6: Final answer
    x = 463.98

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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.