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Finding the Fourth Proportional to 533.48, 796.55 and 475.02

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Solution

The fourth proportional to 533.48, 796.55 and 475.02 is: 709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.48 : 796.55 = 475.02 : x
  2. Step 2: Convert to fraction form
    533.48/796.55 = 475.02/x
  3. Step 3: Cross multiply
    533.48x = 796.55 × 475.02
  4. Step 4: Simplify right side
    533.48x = 378,374.81
  5. Step 5: Solve for x
    x = 378,374.81/533.48
  6. Step 6: Final answer
    x = 709.26

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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.