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Finding the Fourth Proportional to 847.44, 1,271.10 and 360.18

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Solution

The fourth proportional to 847.44, 1,271.10 and 360.18 is: 540.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.44 : 1,271.10 = 360.18 : x
  2. Step 2: Convert to fraction form
    847.44/1,271.10 = 360.18/x
  3. Step 3: Cross multiply
    847.44x = 1,271.10 × 360.18
  4. Step 4: Simplify right side
    847.44x = 457,824.80
  5. Step 5: Solve for x
    x = 457,824.80/847.44
  6. Step 6: Final answer
    x = 540.24

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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.