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Finding the Fourth Proportional to 467.54, 701.32 and 193.46

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Solution

The fourth proportional to 467.54, 701.32 and 193.46 is: 290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.54 : 701.32 = 193.46 : x
  2. Step 2: Convert to fraction form
    467.54/701.32 = 193.46/x
  3. Step 3: Cross multiply
    467.54x = 701.32 × 193.46
  4. Step 4: Simplify right side
    467.54x = 135,677.37
  5. Step 5: Solve for x
    x = 135,677.37/467.54
  6. Step 6: Final answer
    x = 290.19

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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.