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Finding the Fourth Proportional to 533.49, 800.84 and 503.11

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Solution

The fourth proportional to 533.49, 800.84 and 503.11 is: 755.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.49 : 800.84 = 503.11 : x
  2. Step 2: Convert to fraction form
    533.49/800.84 = 503.11/x
  3. Step 3: Cross multiply
    533.49x = 800.84 × 503.11
  4. Step 4: Simplify right side
    533.49x = 402,910.04
  5. Step 5: Solve for x
    x = 402,910.04/533.49
  6. Step 6: Final answer
    x = 755.24

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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.