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Finding the Fourth Proportional to 461.02, 636 and 264.46

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Solution

The fourth proportional to 461.02, 636 and 264.46 is: 364.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.02 : 636 = 264.46 : x
  2. Step 2: Convert to fraction form
    461.02/636 = 264.46/x
  3. Step 3: Cross multiply
    461.02x = 636 × 264.46
  4. Step 4: Simplify right side
    461.02x = 168,196.56
  5. Step 5: Solve for x
    x = 168,196.56/461.02
  6. Step 6: Final answer
    x = 364.84

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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.