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Finding the Fourth Proportional to 549.52, 822.84 and 386.32

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Solution

The fourth proportional to 549.52, 822.84 and 386.32 is: 578.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.52 : 822.84 = 386.32 : x
  2. Step 2: Convert to fraction form
    549.52/822.84 = 386.32/x
  3. Step 3: Cross multiply
    549.52x = 822.84 × 386.32
  4. Step 4: Simplify right side
    549.52x = 317,879.55
  5. Step 5: Solve for x
    x = 317,879.55/549.52
  6. Step 6: Final answer
    x = 578.47

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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.