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Finding the Fourth Proportional to 533.86, 736.80 and 301

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Solution

The fourth proportional to 533.86, 736.80 and 301 is: 415.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.86 : 736.80 = 301 : x
  2. Step 2: Convert to fraction form
    533.86/736.80 = 301/x
  3. Step 3: Cross multiply
    533.86x = 736.80 × 301
  4. Step 4: Simplify right side
    533.86x = 221,776.80
  5. Step 5: Solve for x
    x = 221,776.80/533.86
  6. Step 6: Final answer
    x = 415.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.