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Finding the Fourth Proportional to 452.25, 624.16 and 255.83

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Solution

The fourth proportional to 452.25, 624.16 and 255.83 is: 353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.25 : 624.16 = 255.83 : x
  2. Step 2: Convert to fraction form
    452.25/624.16 = 255.83/x
  3. Step 3: Cross multiply
    452.25x = 624.16 × 255.83
  4. Step 4: Simplify right side
    452.25x = 159,674.61
  5. Step 5: Solve for x
    x = 159,674.61/452.25
  6. Step 6: Final answer
    x = 353.07

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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.