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Finding the Fourth Proportional to 533.59, 736.24 and 312.52

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Solution

The fourth proportional to 533.59, 736.24 and 312.52 is: 431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.59 : 736.24 = 312.52 : x
  2. Step 2: Convert to fraction form
    533.59/736.24 = 312.52/x
  3. Step 3: Cross multiply
    533.59x = 736.24 × 312.52
  4. Step 4: Simplify right side
    533.59x = 230,089.72
  5. Step 5: Solve for x
    x = 230,089.72/533.59
  6. Step 6: Final answer
    x = 431.21

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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.