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Finding the Fourth Proportional to 706.25, 974.60 and 387.21

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Solution

The fourth proportional to 706.25, 974.60 and 387.21 is: 534.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.25 : 974.60 = 387.21 : x
  2. Step 2: Convert to fraction form
    706.25/974.60 = 387.21/x
  3. Step 3: Cross multiply
    706.25x = 974.60 × 387.21
  4. Step 4: Simplify right side
    706.25x = 377,374.87
  5. Step 5: Solve for x
    x = 377,374.87/706.25
  6. Step 6: Final answer
    x = 534.34

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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.