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Finding the Fourth Proportional to 533.27, 735.72 and 358.31

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Solution

The fourth proportional to 533.27, 735.72 and 358.31 is: 494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.27 : 735.72 = 358.31 : x
  2. Step 2: Convert to fraction form
    533.27/735.72 = 358.31/x
  3. Step 3: Cross multiply
    533.27x = 735.72 × 358.31
  4. Step 4: Simplify right side
    533.27x = 263,612.15
  5. Step 5: Solve for x
    x = 263,612.15/533.27
  6. Step 6: Final answer
    x = 494.34

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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.