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Finding the Fourth Proportional to 452.09, 624.12 and 305.50

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Solution

The fourth proportional to 452.09, 624.12 and 305.50 is: 421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.09 : 624.12 = 305.50 : x
  2. Step 2: Convert to fraction form
    452.09/624.12 = 305.50/x
  3. Step 3: Cross multiply
    452.09x = 624.12 × 305.50
  4. Step 4: Simplify right side
    452.09x = 190,668.66
  5. Step 5: Solve for x
    x = 190,668.66/452.09
  6. Step 6: Final answer
    x = 421.75

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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.