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Finding the Fourth Proportional to 512.06, 706.36 and 312.94

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Solution

The fourth proportional to 512.06, 706.36 and 312.94 is: 431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.06 : 706.36 = 312.94 : x
  2. Step 2: Convert to fraction form
    512.06/706.36 = 312.94/x
  3. Step 3: Cross multiply
    512.06x = 706.36 × 312.94
  4. Step 4: Simplify right side
    512.06x = 221,047.22
  5. Step 5: Solve for x
    x = 221,047.22/512.06
  6. Step 6: Final answer
    x = 431.68

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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.