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Finding the Fourth Proportional to 706.60, 975.59 and 441.44

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Solution

The fourth proportional to 706.60, 975.59 and 441.44 is: 609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.60 : 975.59 = 441.44 : x
  2. Step 2: Convert to fraction form
    706.60/975.59 = 441.44/x
  3. Step 3: Cross multiply
    706.60x = 975.59 × 441.44
  4. Step 4: Simplify right side
    706.60x = 430,664.76
  5. Step 5: Solve for x
    x = 430,664.76/706.60
  6. Step 6: Final answer
    x = 609.49

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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.