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Finding the Fourth Proportional to 533.84, 800.15 and 527.76

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Solution

The fourth proportional to 533.84, 800.15 and 527.76 is: 791.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.84 : 800.15 = 527.76 : x
  2. Step 2: Convert to fraction form
    533.84/800.15 = 527.76/x
  3. Step 3: Cross multiply
    533.84x = 800.15 × 527.76
  4. Step 4: Simplify right side
    533.84x = 422,284.53
  5. Step 5: Solve for x
    x = 422,284.53/533.84
  6. Step 6: Final answer
    x = 791.04

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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.