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Finding the Fourth Proportional to 407.07, 609.42 and 233.43

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Solution

The fourth proportional to 407.07, 609.42 and 233.43 is: 349.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.07 : 609.42 = 233.43 : x
  2. Step 2: Convert to fraction form
    407.07/609.42 = 233.43/x
  3. Step 3: Cross multiply
    407.07x = 609.42 × 233.43
  4. Step 4: Simplify right side
    407.07x = 142,256.91
  5. Step 5: Solve for x
    x = 142,256.91/407.07
  6. Step 6: Final answer
    x = 349.47

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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.