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Finding the Fourth Proportional to 533.66, 796.22 and 465.08

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Solution

The fourth proportional to 533.66, 796.22 and 465.08 is: 693.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.66 : 796.22 = 465.08 : x
  2. Step 2: Convert to fraction form
    533.66/796.22 = 465.08/x
  3. Step 3: Cross multiply
    533.66x = 796.22 × 465.08
  4. Step 4: Simplify right side
    533.66x = 370,306.00
  5. Step 5: Solve for x
    x = 370,306.00/533.66
  6. Step 6: Final answer
    x = 693.90

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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.