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Finding the Fourth Proportional to 506.79, 760.41 and 233.13

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Solution

The fourth proportional to 506.79, 760.41 and 233.13 is: 349.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.79 : 760.41 = 233.13 : x
  2. Step 2: Convert to fraction form
    506.79/760.41 = 233.13/x
  3. Step 3: Cross multiply
    506.79x = 760.41 × 233.13
  4. Step 4: Simplify right side
    506.79x = 177,274.38
  5. Step 5: Solve for x
    x = 177,274.38/506.79
  6. Step 6: Final answer
    x = 349.80

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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.