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Finding the Fourth Proportional to 533, 735.72 and 346.64

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Solution

The fourth proportional to 533, 735.72 and 346.64 is: 478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    533 : 735.72 = 346.64 : x
  2. Step 2: Convert to fraction form
    533/735.72 = 346.64/x
  3. Step 3: Cross multiply
    533x = 735.72 × 346.64
  4. Step 4: Simplify right side
    533x = 255,029.98
  5. Step 5: Solve for x
    x = 255,029.98/533
  6. Step 6: Final answer
    x = 478.48

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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.