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Finding the Fourth Proportional to 533.45, 736.68 and 415.75

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Solution

The fourth proportional to 533.45, 736.68 and 415.75 is: 574.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.45 : 736.68 = 415.75 : x
  2. Step 2: Convert to fraction form
    533.45/736.68 = 415.75/x
  3. Step 3: Cross multiply
    533.45x = 736.68 × 415.75
  4. Step 4: Simplify right side
    533.45x = 306,274.71
  5. Step 5: Solve for x
    x = 306,274.71/533.45
  6. Step 6: Final answer
    x = 574.14

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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.