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Finding the Fourth Proportional to 452.88, 625.26 and 311.28

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Solution

The fourth proportional to 452.88, 625.26 and 311.28 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.88 : 625.26 = 311.28 : x
  2. Step 2: Convert to fraction form
    452.88/625.26 = 311.28/x
  3. Step 3: Cross multiply
    452.88x = 625.26 × 311.28
  4. Step 4: Simplify right side
    452.88x = 194,630.93
  5. Step 5: Solve for x
    x = 194,630.93/452.88
  6. Step 6: Final answer
    x = 429.76

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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.