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Finding the Fourth Proportional to 675.42, 1,013.48 and 310.30

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Solution

The fourth proportional to 675.42, 1,013.48 and 310.30 is: 465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.42 : 1,013.48 = 310.30 : x
  2. Step 2: Convert to fraction form
    675.42/1,013.48 = 310.30/x
  3. Step 3: Cross multiply
    675.42x = 1,013.48 × 310.30
  4. Step 4: Simplify right side
    675.42x = 314,479.92
  5. Step 5: Solve for x
    x = 314,479.92/675.42
  6. Step 6: Final answer
    x = 465.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.