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Finding the Fourth Proportional to 533.92, 737.28 and 417.28

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Solution

The fourth proportional to 533.92, 737.28 and 417.28 is: 576.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.92 : 737.28 = 417.28 : x
  2. Step 2: Convert to fraction form
    533.92/737.28 = 417.28/x
  3. Step 3: Cross multiply
    533.92x = 737.28 × 417.28
  4. Step 4: Simplify right side
    533.92x = 307,652.20
  5. Step 5: Solve for x
    x = 307,652.20/533.92
  6. Step 6: Final answer
    x = 576.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.