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Finding the Fourth Proportional to 533.07, 794.25 and 505.17

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Solution

The fourth proportional to 533.07, 794.25 and 505.17 is: 752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.07 : 794.25 = 505.17 : x
  2. Step 2: Convert to fraction form
    533.07/794.25 = 505.17/x
  3. Step 3: Cross multiply
    533.07x = 794.25 × 505.17
  4. Step 4: Simplify right side
    533.07x = 401,231.27
  5. Step 5: Solve for x
    x = 401,231.27/533.07
  6. Step 6: Final answer
    x = 752.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.