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Finding the Fourth Proportional to 706.72, 975.04 and 412

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Solution

The fourth proportional to 706.72, 975.04 and 412 is: 568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.72 : 975.04 = 412 : x
  2. Step 2: Convert to fraction form
    706.72/975.04 = 412/x
  3. Step 3: Cross multiply
    706.72x = 975.04 × 412
  4. Step 4: Simplify right side
    706.72x = 401,716.48
  5. Step 5: Solve for x
    x = 401,716.48/706.72
  6. Step 6: Final answer
    x = 568.42

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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.