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Finding the Fourth Proportional to 706.75, 975.32 and 396.25

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Solution

The fourth proportional to 706.75, 975.32 and 396.25 is: 546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.75 : 975.32 = 396.25 : x
  2. Step 2: Convert to fraction form
    706.75/975.32 = 396.25/x
  3. Step 3: Cross multiply
    706.75x = 975.32 × 396.25
  4. Step 4: Simplify right side
    706.75x = 386,470.55
  5. Step 5: Solve for x
    x = 386,470.55/706.75
  6. Step 6: Final answer
    x = 546.83

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1.5x scale

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.