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Finding the Fourth Proportional to 533.75, 800.76 and 475.58

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Solution

The fourth proportional to 533.75, 800.76 and 475.58 is: 713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.75 : 800.76 = 475.58 : x
  2. Step 2: Convert to fraction form
    533.75/800.76 = 475.58/x
  3. Step 3: Cross multiply
    533.75x = 800.76 × 475.58
  4. Step 4: Simplify right side
    533.75x = 380,829.23
  5. Step 5: Solve for x
    x = 380,829.23/533.75
  6. Step 6: Final answer
    x = 713.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.