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Finding the Fourth Proportional to 847.38, 1,271.20 and 360.30

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Solution

The fourth proportional to 847.38, 1,271.20 and 360.30 is: 540.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.38 : 1,271.20 = 360.30 : x
  2. Step 2: Convert to fraction form
    847.38/1,271.20 = 360.30/x
  3. Step 3: Cross multiply
    847.38x = 1,271.20 × 360.30
  4. Step 4: Simplify right side
    847.38x = 458,013.36
  5. Step 5: Solve for x
    x = 458,013.36/847.38
  6. Step 6: Final answer
    x = 540.51

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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.