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Finding the Fourth Proportional to 512.26, 706.59 and 315.56

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Solution

The fourth proportional to 512.26, 706.59 and 315.56 is: 435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.26 : 706.59 = 315.56 : x
  2. Step 2: Convert to fraction form
    512.26/706.59 = 315.56/x
  3. Step 3: Cross multiply
    512.26x = 706.59 × 315.56
  4. Step 4: Simplify right side
    512.26x = 222,973.31
  5. Step 5: Solve for x
    x = 222,973.31/512.26
  6. Step 6: Final answer
    x = 435.28

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