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Finding the Fourth Proportional to 515.26, 711.67 and 396.39

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Solution

The fourth proportional to 515.26, 711.67 and 396.39 is: 547.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.26 : 711.67 = 396.39 : x
  2. Step 2: Convert to fraction form
    515.26/711.67 = 396.39/x
  3. Step 3: Cross multiply
    515.26x = 711.67 × 396.39
  4. Step 4: Simplify right side
    515.26x = 282,096.10
  5. Step 5: Solve for x
    x = 282,096.10/515.26
  6. Step 6: Final answer
    x = 547.49

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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.