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Finding the Fourth Proportional to 452.19, 679.20 and 269.94

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Solution

The fourth proportional to 452.19, 679.20 and 269.94 is: 405.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.19 : 679.20 = 269.94 : x
  2. Step 2: Convert to fraction form
    452.19/679.20 = 269.94/x
  3. Step 3: Cross multiply
    452.19x = 679.20 × 269.94
  4. Step 4: Simplify right side
    452.19x = 183,343.25
  5. Step 5: Solve for x
    x = 183,343.25/452.19
  6. Step 6: Final answer
    x = 405.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.