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Finding the Fourth Proportional to 706.53, 975.01 and 412

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Solution

The fourth proportional to 706.53, 975.01 and 412 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.53 : 975.01 = 412 : x
  2. Step 2: Convert to fraction form
    706.53/975.01 = 412/x
  3. Step 3: Cross multiply
    706.53x = 975.01 × 412
  4. Step 4: Simplify right side
    706.53x = 401,704.12
  5. Step 5: Solve for x
    x = 401,704.12/706.53
  6. Step 6: Final answer
    x = 568.56

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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.