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Finding the Fourth Proportional to 533.26, 735.90 and 358.84

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Solution

The fourth proportional to 533.26, 735.90 and 358.84 is: 495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.26 : 735.90 = 358.84 : x
  2. Step 2: Convert to fraction form
    533.26/735.90 = 358.84/x
  3. Step 3: Cross multiply
    533.26x = 735.90 × 358.84
  4. Step 4: Simplify right side
    533.26x = 264,070.36
  5. Step 5: Solve for x
    x = 264,070.36/533.26
  6. Step 6: Final answer
    x = 495.20

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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.