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Finding the Fourth Proportional to 533.57, 800.80 and 529.52

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Solution

The fourth proportional to 533.57, 800.80 and 529.52 is: 794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.57 : 800.80 = 529.52 : x
  2. Step 2: Convert to fraction form
    533.57/800.80 = 529.52/x
  3. Step 3: Cross multiply
    533.57x = 800.80 × 529.52
  4. Step 4: Simplify right side
    533.57x = 424,034.29
  5. Step 5: Solve for x
    x = 424,034.29/533.57
  6. Step 6: Final answer
    x = 794.72

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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.