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Finding the Fourth Proportional to 533.68, 800.82 and 302.83

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Solution

The fourth proportional to 533.68, 800.82 and 302.83 is: 454.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.68 : 800.82 = 302.83 : x
  2. Step 2: Convert to fraction form
    533.68/800.82 = 302.83/x
  3. Step 3: Cross multiply
    533.68x = 800.82 × 302.83
  4. Step 4: Simplify right side
    533.68x = 242,510.32
  5. Step 5: Solve for x
    x = 242,510.32/533.68
  6. Step 6: Final answer
    x = 454.41

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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.