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Finding the Fourth Proportional to 699.60, 965.52 and 447.48

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Solution

The fourth proportional to 699.60, 965.52 and 447.48 is: 617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.60 : 965.52 = 447.48 : x
  2. Step 2: Convert to fraction form
    699.60/965.52 = 447.48/x
  3. Step 3: Cross multiply
    699.60x = 965.52 × 447.48
  4. Step 4: Simplify right side
    699.60x = 432,050.89
  5. Step 5: Solve for x
    x = 432,050.89/699.60
  6. Step 6: Final answer
    x = 617.57

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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.