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Finding the Fourth Proportional to 533.62, 796.61 and 509.98

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Solution

The fourth proportional to 533.62, 796.61 and 509.98 is: 761.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.62 : 796.61 = 509.98 : x
  2. Step 2: Convert to fraction form
    533.62/796.61 = 509.98/x
  3. Step 3: Cross multiply
    533.62x = 796.61 × 509.98
  4. Step 4: Simplify right side
    533.62x = 406,255.17
  5. Step 5: Solve for x
    x = 406,255.17/533.62
  6. Step 6: Final answer
    x = 761.32

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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.