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Finding the Fourth Proportional to 848.26, 1,271.16 and 360.64

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Solution

The fourth proportional to 848.26, 1,271.16 and 360.64 is: 540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.26 : 1,271.16 = 360.64 : x
  2. Step 2: Convert to fraction form
    848.26/1,271.16 = 360.64/x
  3. Step 3: Cross multiply
    848.26x = 1,271.16 × 360.64
  4. Step 4: Simplify right side
    848.26x = 458,431.14
  5. Step 5: Solve for x
    x = 458,431.14/848.26
  6. Step 6: Final answer
    x = 540.44

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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.