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Finding the Fourth Proportional to 440.75, 661.74 and 235.42

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Solution

The fourth proportional to 440.75, 661.74 and 235.42 is: 353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.75 : 661.74 = 235.42 : x
  2. Step 2: Convert to fraction form
    440.75/661.74 = 235.42/x
  3. Step 3: Cross multiply
    440.75x = 661.74 × 235.42
  4. Step 4: Simplify right side
    440.75x = 155,784.29
  5. Step 5: Solve for x
    x = 155,784.29/440.75
  6. Step 6: Final answer
    x = 353.45

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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.