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Finding the Fourth Proportional to 533.37, 798.03 and 465.78

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Solution

The fourth proportional to 533.37, 798.03 and 465.78 is: 696.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.37 : 798.03 = 465.78 : x
  2. Step 2: Convert to fraction form
    533.37/798.03 = 465.78/x
  3. Step 3: Cross multiply
    533.37x = 798.03 × 465.78
  4. Step 4: Simplify right side
    533.37x = 371,706.41
  5. Step 5: Solve for x
    x = 371,706.41/533.37
  6. Step 6: Final answer
    x = 696.90

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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.