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Finding the Fourth Proportional to 706.60, 975.06 and 411.92

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Solution

The fourth proportional to 706.60, 975.06 and 411.92 is: 568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.60 : 975.06 = 411.92 : x
  2. Step 2: Convert to fraction form
    706.60/975.06 = 411.92/x
  3. Step 3: Cross multiply
    706.60x = 975.06 × 411.92
  4. Step 4: Simplify right side
    706.60x = 401,646.72
  5. Step 5: Solve for x
    x = 401,646.72/706.60
  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.