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Finding the Fourth Proportional to 706.32, 974.52 and 411.60

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Solution

The fourth proportional to 706.32, 974.52 and 411.60 is: 567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.32 : 974.52 = 411.60 : x
  2. Step 2: Convert to fraction form
    706.32/974.52 = 411.60/x
  3. Step 3: Cross multiply
    706.32x = 974.52 × 411.60
  4. Step 4: Simplify right side
    706.32x = 401,112.43
  5. Step 5: Solve for x
    x = 401,112.43/706.32
  6. Step 6: Final answer
    x = 567.89

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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.