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Finding the Fourth Proportional to 675.02, 1,012.53 and 264.28

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Solution

The fourth proportional to 675.02, 1,012.53 and 264.28 is: 396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.02 : 1,012.53 = 264.28 : x
  2. Step 2: Convert to fraction form
    675.02/1,012.53 = 264.28/x
  3. Step 3: Cross multiply
    675.02x = 1,012.53 × 264.28
  4. Step 4: Simplify right side
    675.02x = 267,586.37
  5. Step 5: Solve for x
    x = 267,586.37/675.02
  6. Step 6: Final answer
    x = 396.41

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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.