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Finding the Fourth Proportional to 452.22, 676.80 and 246.24

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Solution

The fourth proportional to 452.22, 676.80 and 246.24 is: 368.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.22 : 676.80 = 246.24 : x
  2. Step 2: Convert to fraction form
    452.22/676.80 = 246.24/x
  3. Step 3: Cross multiply
    452.22x = 676.80 × 246.24
  4. Step 4: Simplify right side
    452.22x = 166,655.23
  5. Step 5: Solve for x
    x = 166,655.23/452.22
  6. Step 6: Final answer
    x = 368.53

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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.