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Finding the Fourth Proportional to 533.69, 736.78 and 368.79

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Solution

The fourth proportional to 533.69, 736.78 and 368.79 is: 509.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.69 : 736.78 = 368.79 : x
  2. Step 2: Convert to fraction form
    533.69/736.78 = 368.79/x
  3. Step 3: Cross multiply
    533.69x = 736.78 × 368.79
  4. Step 4: Simplify right side
    533.69x = 271,717.56
  5. Step 5: Solve for x
    x = 271,717.56/533.69
  6. Step 6: Final answer
    x = 509.13

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