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Finding the Fourth Proportional to 452.42, 676.52 and 335.50

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Solution

The fourth proportional to 452.42, 676.52 and 335.50 is: 501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.42 : 676.52 = 335.50 : x
  2. Step 2: Convert to fraction form
    452.42/676.52 = 335.50/x
  3. Step 3: Cross multiply
    452.42x = 676.52 × 335.50
  4. Step 4: Simplify right side
    452.42x = 226,972.46
  5. Step 5: Solve for x
    x = 226,972.46/452.42
  6. Step 6: Final answer
    x = 501.69

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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.