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Finding the Fourth Proportional to 675.06, 1,012.05 and 310.02

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Solution

The fourth proportional to 675.06, 1,012.05 and 310.02 is: 464.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.06 : 1,012.05 = 310.02 : x
  2. Step 2: Convert to fraction form
    675.06/1,012.05 = 310.02/x
  3. Step 3: Cross multiply
    675.06x = 1,012.05 × 310.02
  4. Step 4: Simplify right side
    675.06x = 313,755.74
  5. Step 5: Solve for x
    x = 313,755.74/675.06
  6. Step 6: Final answer
    x = 464.78

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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.