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Finding the Fourth Proportional to 533.46, 800.38 and 259.40

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Solution

The fourth proportional to 533.46, 800.38 and 259.40 is: 389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.46 : 800.38 = 259.40 : x
  2. Step 2: Convert to fraction form
    533.46/800.38 = 259.40/x
  3. Step 3: Cross multiply
    533.46x = 800.38 × 259.40
  4. Step 4: Simplify right side
    533.46x = 207,618.57
  5. Step 5: Solve for x
    x = 207,618.57/533.46
  6. Step 6: Final answer
    x = 389.19

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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.