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Finding the Fourth Proportional to 533.05, 799.58 and 317.59

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Solution

The fourth proportional to 533.05, 799.58 and 317.59 is: 476.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.05 : 799.58 = 317.59 : x
  2. Step 2: Convert to fraction form
    533.05/799.58 = 317.59/x
  3. Step 3: Cross multiply
    533.05x = 799.58 × 317.59
  4. Step 4: Simplify right side
    533.05x = 253,937.02
  5. Step 5: Solve for x
    x = 253,937.02/533.05
  6. Step 6: Final answer
    x = 476.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.