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Finding the Fourth Proportional to 549.04, 822.48 and 420.16

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Solution

The fourth proportional to 549.04, 822.48 and 420.16 is: 629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.04 : 822.48 = 420.16 : x
  2. Step 2: Convert to fraction form
    549.04/822.48 = 420.16/x
  3. Step 3: Cross multiply
    549.04x = 822.48 × 420.16
  4. Step 4: Simplify right side
    549.04x = 345,573.20
  5. Step 5: Solve for x
    x = 345,573.20/549.04
  6. Step 6: Final answer
    x = 629.41

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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.