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Finding the Fourth Proportional to 452.80, 624.81 and 256.27

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Solution

The fourth proportional to 452.80, 624.81 and 256.27 is: 353.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.80 : 624.81 = 256.27 : x
  2. Step 2: Convert to fraction form
    452.80/624.81 = 256.27/x
  3. Step 3: Cross multiply
    452.80x = 624.81 × 256.27
  4. Step 4: Simplify right side
    452.80x = 160,120.06
  5. Step 5: Solve for x
    x = 160,120.06/452.80
  6. Step 6: Final answer
    x = 353.62

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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.