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Finding the Fourth Proportional to 533.85, 736.54 and 312.72

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Solution

The fourth proportional to 533.85, 736.54 and 312.72 is: 431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.85 : 736.54 = 312.72 : x
  2. Step 2: Convert to fraction form
    533.85/736.54 = 312.72/x
  3. Step 3: Cross multiply
    533.85x = 736.54 × 312.72
  4. Step 4: Simplify right side
    533.85x = 230,327.24
  5. Step 5: Solve for x
    x = 230,327.24/533.85
  6. Step 6: Final answer
    x = 431.45

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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.