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Finding the Fourth Proportional to 533.19, 795.90 and 494.13

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Solution

The fourth proportional to 533.19, 795.90 and 494.13 is: 737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.19 : 795.90 = 494.13 : x
  2. Step 2: Convert to fraction form
    533.19/795.90 = 494.13/x
  3. Step 3: Cross multiply
    533.19x = 795.90 × 494.13
  4. Step 4: Simplify right side
    533.19x = 393,278.07
  5. Step 5: Solve for x
    x = 393,278.07/533.19
  6. Step 6: Final answer
    x = 737.59

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Why These Related Problems?

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