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Finding the Fourth Proportional to 533.63, 798.93 and 412.13

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Solution

The fourth proportional to 533.63, 798.93 and 412.13 is: 617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.63 : 798.93 = 412.13 : x
  2. Step 2: Convert to fraction form
    533.63/798.93 = 412.13/x
  3. Step 3: Cross multiply
    533.63x = 798.93 × 412.13
  4. Step 4: Simplify right side
    533.63x = 329,265.02
  5. Step 5: Solve for x
    x = 329,265.02/533.63
  6. Step 6: Final answer
    x = 617.03

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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.