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Finding the Fourth Proportional to 675.53, 1,013.42 and 310.42

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Solution

The fourth proportional to 675.53, 1,013.42 and 310.42 is: 465.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.53 : 1,013.42 = 310.42 : x
  2. Step 2: Convert to fraction form
    675.53/1,013.42 = 310.42/x
  3. Step 3: Cross multiply
    675.53x = 1,013.42 × 310.42
  4. Step 4: Simplify right side
    675.53x = 314,584.08
  5. Step 5: Solve for x
    x = 314,584.08/675.53
  6. Step 6: Final answer
    x = 465.69

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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.