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Finding the Fourth Proportional to 533.60, 800.40 and 302.56

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Solution

The fourth proportional to 533.60, 800.40 and 302.56 is: 453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.60 : 800.40 = 302.56 : x
  2. Step 2: Convert to fraction form
    533.60/800.40 = 302.56/x
  3. Step 3: Cross multiply
    533.60x = 800.40 × 302.56
  4. Step 4: Simplify right side
    533.60x = 242,169.02
  5. Step 5: Solve for x
    x = 242,169.02/533.60
  6. Step 6: Final answer
    x = 453.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.