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Finding the Fourth Proportional to 467.10, 700.37 and 193.03

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Solution

The fourth proportional to 467.10, 700.37 and 193.03 is: 289.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.10 : 700.37 = 193.03 : x
  2. Step 2: Convert to fraction form
    467.10/700.37 = 193.03/x
  3. Step 3: Cross multiply
    467.10x = 700.37 × 193.03
  4. Step 4: Simplify right side
    467.10x = 135,192.42
  5. Step 5: Solve for x
    x = 135,192.42/467.10
  6. Step 6: Final answer
    x = 289.43

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