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Finding the Fourth Proportional to 553.90, 829.44 and 310.14

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Solution

The fourth proportional to 553.90, 829.44 and 310.14 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.90 : 829.44 = 310.14 : x
  2. Step 2: Convert to fraction form
    553.90/829.44 = 310.14/x
  3. Step 3: Cross multiply
    553.90x = 829.44 × 310.14
  4. Step 4: Simplify right side
    553.90x = 257,242.52
  5. Step 5: Solve for x
    x = 257,242.52/553.90
  6. Step 6: Final answer
    x = 464.42

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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.