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Finding the Fourth Proportional to 515.73, 711.88 and 461.06

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Solution

The fourth proportional to 515.73, 711.88 and 461.06 is: 636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.73 : 711.88 = 461.06 : x
  2. Step 2: Convert to fraction form
    515.73/711.88 = 461.06/x
  3. Step 3: Cross multiply
    515.73x = 711.88 × 461.06
  4. Step 4: Simplify right side
    515.73x = 328,214.68
  5. Step 5: Solve for x
    x = 328,214.68/515.73
  6. Step 6: Final answer
    x = 636.41

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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.