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Finding the Fourth Proportional to 452.52, 624.34 and 277.80

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Solution

The fourth proportional to 452.52, 624.34 and 277.80 is: 383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.52 : 624.34 = 277.80 : x
  2. Step 2: Convert to fraction form
    452.52/624.34 = 277.80/x
  3. Step 3: Cross multiply
    452.52x = 624.34 × 277.80
  4. Step 4: Simplify right side
    452.52x = 173,441.65
  5. Step 5: Solve for x
    x = 173,441.65/452.52
  6. Step 6: Final answer
    x = 383.28

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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.