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Finding the Fourth Proportional to 440.82, 661.37 and 197.30

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Solution

The fourth proportional to 440.82, 661.37 and 197.30 is: 296.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.82 : 661.37 = 197.30 : x
  2. Step 2: Convert to fraction form
    440.82/661.37 = 197.30/x
  3. Step 3: Cross multiply
    440.82x = 661.37 × 197.30
  4. Step 4: Simplify right side
    440.82x = 130,484.01
  5. Step 5: Solve for x
    x = 130,484.01/440.82
  6. Step 6: Final answer
    x = 296.00

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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.