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Finding the Fourth Proportional to 515.79, 713.36 and 460.44

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Solution

The fourth proportional to 515.79, 713.36 and 460.44 is: 636.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.79 : 713.36 = 460.44 : x
  2. Step 2: Convert to fraction form
    515.79/713.36 = 460.44/x
  3. Step 3: Cross multiply
    515.79x = 713.36 × 460.44
  4. Step 4: Simplify right side
    515.79x = 328,460.63
  5. Step 5: Solve for x
    x = 328,460.63/515.79
  6. Step 6: Final answer
    x = 636.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.