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Finding the Fourth Proportional to 467.32, 701.07 and 193.45

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Solution

The fourth proportional to 467.32, 701.07 and 193.45 is: 290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.32 : 701.07 = 193.45 : x
  2. Step 2: Convert to fraction form
    467.32/701.07 = 193.45/x
  3. Step 3: Cross multiply
    467.32x = 701.07 × 193.45
  4. Step 4: Simplify right side
    467.32x = 135,621.99
  5. Step 5: Solve for x
    x = 135,621.99/467.32
  6. Step 6: Final answer
    x = 290.21

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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.