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Finding the Fourth Proportional to 533.88, 737.10 and 378.36

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Solution

The fourth proportional to 533.88, 737.10 and 378.36 is: 522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.88 : 737.10 = 378.36 : x
  2. Step 2: Convert to fraction form
    533.88/737.10 = 378.36/x
  3. Step 3: Cross multiply
    533.88x = 737.10 × 378.36
  4. Step 4: Simplify right side
    533.88x = 278,889.16
  5. Step 5: Solve for x
    x = 278,889.16/533.88
  6. Step 6: Final answer
    x = 522.38

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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.