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Finding the Fourth Proportional to 452.76, 624.81 and 256.31

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Solution

The fourth proportional to 452.76, 624.81 and 256.31 is: 353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.76 : 624.81 = 256.31 : x
  2. Step 2: Convert to fraction form
    452.76/624.81 = 256.31/x
  3. Step 3: Cross multiply
    452.76x = 624.81 × 256.31
  4. Step 4: Simplify right side
    452.76x = 160,145.05
  5. Step 5: Solve for x
    x = 160,145.05/452.76
  6. Step 6: Final answer
    x = 353.71

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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.