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Finding the Fourth Proportional to 706.80, 975.36 and 412.02

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Solution

The fourth proportional to 706.80, 975.36 and 412.02 is: 568.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.80 : 975.36 = 412.02 : x
  2. Step 2: Convert to fraction form
    706.80/975.36 = 412.02/x
  3. Step 3: Cross multiply
    706.80x = 975.36 × 412.02
  4. Step 4: Simplify right side
    706.80x = 401,867.83
  5. Step 5: Solve for x
    x = 401,867.83/706.80
  6. Step 6: Final answer
    x = 568.57

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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.