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Finding the Fourth Proportional to 533.47, 732.50 and 450.25

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Solution

The fourth proportional to 533.47, 732.50 and 450.25 is: 618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.47 : 732.50 = 450.25 : x
  2. Step 2: Convert to fraction form
    533.47/732.50 = 450.25/x
  3. Step 3: Cross multiply
    533.47x = 732.50 × 450.25
  4. Step 4: Simplify right side
    533.47x = 329,808.13
  5. Step 5: Solve for x
    x = 329,808.13/533.47
  6. Step 6: Final answer
    x = 618.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.