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Finding the Fourth Proportional to 533.81, 736.85 and 478.45

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Solution

The fourth proportional to 533.81, 736.85 and 478.45 is: 660.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.81 : 736.85 = 478.45 : x
  2. Step 2: Convert to fraction form
    533.81/736.85 = 478.45/x
  3. Step 3: Cross multiply
    533.81x = 736.85 × 478.45
  4. Step 4: Simplify right side
    533.81x = 352,545.88
  5. Step 5: Solve for x
    x = 352,545.88/533.81
  6. Step 6: Final answer
    x = 660.43

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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.