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Finding the Fourth Proportional to 549.32, 823.37 and 275.33

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Solution

The fourth proportional to 549.32, 823.37 and 275.33 is: 412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.32 : 823.37 = 275.33 : x
  2. Step 2: Convert to fraction form
    549.32/823.37 = 275.33/x
  3. Step 3: Cross multiply
    549.32x = 823.37 × 275.33
  4. Step 4: Simplify right side
    549.32x = 226,699.14
  5. Step 5: Solve for x
    x = 226,699.14/549.32
  6. Step 6: Final answer
    x = 412.69

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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.