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Finding the Fourth Proportional to 675.23, 1,012.28 and 285.53

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Solution

The fourth proportional to 675.23, 1,012.28 and 285.53 is: 428.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.23 : 1,012.28 = 285.53 : x
  2. Step 2: Convert to fraction form
    675.23/1,012.28 = 285.53/x
  3. Step 3: Cross multiply
    675.23x = 1,012.28 × 285.53
  4. Step 4: Simplify right side
    675.23x = 289,029.82
  5. Step 5: Solve for x
    x = 289,029.82/675.23
  6. Step 6: Final answer
    x = 428.05

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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.