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Finding the Fourth Proportional to 452.89, 625.02 and 256.42

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Solution

The fourth proportional to 452.89, 625.02 and 256.42 is: 353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.89 : 625.02 = 256.42 : x
  2. Step 2: Convert to fraction form
    452.89/625.02 = 256.42/x
  3. Step 3: Cross multiply
    452.89x = 625.02 × 256.42
  4. Step 4: Simplify right side
    452.89x = 160,267.63
  5. Step 5: Solve for x
    x = 160,267.63/452.89
  6. Step 6: Final answer
    x = 353.88

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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.