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Finding the Fourth Proportional to 533.63, 795.84 and 521.21

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Solution

The fourth proportional to 533.63, 795.84 and 521.21 is: 777.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.63 : 795.84 = 521.21 : x
  2. Step 2: Convert to fraction form
    533.63/795.84 = 521.21/x
  3. Step 3: Cross multiply
    533.63x = 795.84 × 521.21
  4. Step 4: Simplify right side
    533.63x = 414,797.16
  5. Step 5: Solve for x
    x = 414,797.16/533.63
  6. Step 6: Final answer
    x = 777.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.