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Finding the Fourth Proportional to 533.28, 735.60 and 385.68

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Solution

The fourth proportional to 533.28, 735.60 and 385.68 is: 532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.28 : 735.60 = 385.68 : x
  2. Step 2: Convert to fraction form
    533.28/735.60 = 385.68/x
  3. Step 3: Cross multiply
    533.28x = 735.60 × 385.68
  4. Step 4: Simplify right side
    533.28x = 283,706.21
  5. Step 5: Solve for x
    x = 283,706.21/533.28
  6. Step 6: Final answer
    x = 532.00

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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.