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Finding the Fourth Proportional to 533.71, 796.48 and 526.82

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Solution

The fourth proportional to 533.71, 796.48 and 526.82 is: 786.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.71 : 796.48 = 526.82 : x
  2. Step 2: Convert to fraction form
    533.71/796.48 = 526.82/x
  3. Step 3: Cross multiply
    533.71x = 796.48 × 526.82
  4. Step 4: Simplify right side
    533.71x = 419,601.59
  5. Step 5: Solve for x
    x = 419,601.59/533.71
  6. Step 6: Final answer
    x = 786.21

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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.