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Finding the Fourth Proportional to 553.52, 829.12 and 444

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Solution

The fourth proportional to 553.52, 829.12 and 444 is: 665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.52 : 829.12 = 444 : x
  2. Step 2: Convert to fraction form
    553.52/829.12 = 444/x
  3. Step 3: Cross multiply
    553.52x = 829.12 × 444
  4. Step 4: Simplify right side
    553.52x = 368,129.28
  5. Step 5: Solve for x
    x = 368,129.28/553.52
  6. Step 6: Final answer
    x = 665.07

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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.