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Finding the Fourth Proportional to 699.52, 965.60 and 467.20

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Solution

The fourth proportional to 699.52, 965.60 and 467.20 is: 644.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.52 : 965.60 = 467.20 : x
  2. Step 2: Convert to fraction form
    699.52/965.60 = 467.20/x
  3. Step 3: Cross multiply
    699.52x = 965.60 × 467.20
  4. Step 4: Simplify right side
    699.52x = 451,128.32
  5. Step 5: Solve for x
    x = 451,128.32/699.52
  6. Step 6: Final answer
    x = 644.91

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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.