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Finding the Fourth Proportional to 467.50, 699.60 and 294.25

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Solution

The fourth proportional to 467.50, 699.60 and 294.25 is: 440.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.50 : 699.60 = 294.25 : x
  2. Step 2: Convert to fraction form
    467.50/699.60 = 294.25/x
  3. Step 3: Cross multiply
    467.50x = 699.60 × 294.25
  4. Step 4: Simplify right side
    467.50x = 205,857.30
  5. Step 5: Solve for x
    x = 205,857.30/467.50
  6. Step 6: Final answer
    x = 440.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.