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Finding the Fourth Proportional to 533.01, 797.85 and 345.14

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Solution

The fourth proportional to 533.01, 797.85 and 345.14 is: 516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.01 : 797.85 = 345.14 : x
  2. Step 2: Convert to fraction form
    533.01/797.85 = 345.14/x
  3. Step 3: Cross multiply
    533.01x = 797.85 × 345.14
  4. Step 4: Simplify right side
    533.01x = 275,368.95
  5. Step 5: Solve for x
    x = 275,368.95/533.01
  6. Step 6: Final answer
    x = 516.63

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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.