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Finding the Fourth Proportional to 533.28, 735.12 and 416.64

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Solution

The fourth proportional to 533.28, 735.12 and 416.64 is: 574.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.28 : 735.12 = 416.64 : x
  2. Step 2: Convert to fraction form
    533.28/735.12 = 416.64/x
  3. Step 3: Cross multiply
    533.28x = 735.12 × 416.64
  4. Step 4: Simplify right side
    533.28x = 306,280.40
  5. Step 5: Solve for x
    x = 306,280.40/533.28
  6. Step 6: Final answer
    x = 574.33

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Why These Related Problems?

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