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Finding the Fourth Proportional to 533.09, 800.18 and 412.67

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Solution

The fourth proportional to 533.09, 800.18 and 412.67 is: 619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.09 : 800.18 = 412.67 : x
  2. Step 2: Convert to fraction form
    533.09/800.18 = 412.67/x
  3. Step 3: Cross multiply
    533.09x = 800.18 × 412.67
  4. Step 4: Simplify right side
    533.09x = 330,210.28
  5. Step 5: Solve for x
    x = 330,210.28/533.09
  6. Step 6: Final answer
    x = 619.43

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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.