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Finding the Fourth Proportional to 553.34, 829.92 and 391.08

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Solution

The fourth proportional to 553.34, 829.92 and 391.08 is: 586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.34 : 829.92 = 391.08 : x
  2. Step 2: Convert to fraction form
    553.34/829.92 = 391.08/x
  3. Step 3: Cross multiply
    553.34x = 829.92 × 391.08
  4. Step 4: Simplify right side
    553.34x = 324,565.11
  5. Step 5: Solve for x
    x = 324,565.11/553.34
  6. Step 6: Final answer
    x = 586.56

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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.