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Finding the Fourth Proportional to 533.17, 797.93 and 488.22

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Solution

The fourth proportional to 533.17, 797.93 and 488.22 is: 730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.17 : 797.93 = 488.22 : x
  2. Step 2: Convert to fraction form
    533.17/797.93 = 488.22/x
  3. Step 3: Cross multiply
    533.17x = 797.93 × 488.22
  4. Step 4: Simplify right side
    533.17x = 389,565.38
  5. Step 5: Solve for x
    x = 389,565.38/533.17
  6. Step 6: Final answer
    x = 730.66

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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.