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Finding the Fourth Proportional to 553.13, 829.54 and 245.13

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Solution

The fourth proportional to 553.13, 829.54 and 245.13 is: 367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.13 : 829.54 = 245.13 : x
  2. Step 2: Convert to fraction form
    553.13/829.54 = 245.13/x
  3. Step 3: Cross multiply
    553.13x = 829.54 × 245.13
  4. Step 4: Simplify right side
    553.13x = 203,342.34
  5. Step 5: Solve for x
    x = 203,342.34/553.13
  6. Step 6: Final answer
    x = 367.62

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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.