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Finding the Fourth Proportional to 533.77, 800.35 and 259.52

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Solution

The fourth proportional to 533.77, 800.35 and 259.52 is: 389.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.77 : 800.35 = 259.52 : x
  2. Step 2: Convert to fraction form
    533.77/800.35 = 259.52/x
  3. Step 3: Cross multiply
    533.77x = 800.35 × 259.52
  4. Step 4: Simplify right side
    533.77x = 207,702.18
  5. Step 5: Solve for x
    x = 207,702.18/533.77
  6. Step 6: Final answer
    x = 389.12

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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.