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Finding the Fourth Proportional to 396, 546.53 and 240.75

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Solution

The fourth proportional to 396, 546.53 and 240.75 is: 332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    396 : 546.53 = 240.75 : x
  2. Step 2: Convert to fraction form
    396/546.53 = 240.75/x
  3. Step 3: Cross multiply
    396x = 546.53 × 240.75
  4. Step 4: Simplify right side
    396x = 131,575.89
  5. Step 5: Solve for x
    x = 131,575.89/396
  6. Step 6: Final answer
    x = 332.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.