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Finding the Fourth Proportional to 553.25, 829.88 and 337.30

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Solution

The fourth proportional to 553.25, 829.88 and 337.30 is: 505.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.25 : 829.88 = 337.30 : x
  2. Step 2: Convert to fraction form
    553.25/829.88 = 337.30/x
  3. Step 3: Cross multiply
    553.25x = 829.88 × 337.30
  4. Step 4: Simplify right side
    553.25x = 279,918.52
  5. Step 5: Solve for x
    x = 279,918.52/553.25
  6. Step 6: Final answer
    x = 505.95

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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.