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Finding the Fourth Proportional to 533.38, 735.96 and 312.32

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Solution

The fourth proportional to 533.38, 735.96 and 312.32 is: 430.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.38 : 735.96 = 312.32 : x
  2. Step 2: Convert to fraction form
    533.38/735.96 = 312.32/x
  3. Step 3: Cross multiply
    533.38x = 735.96 × 312.32
  4. Step 4: Simplify right side
    533.38x = 229,856.87
  5. Step 5: Solve for x
    x = 229,856.87/533.38
  6. Step 6: Final answer
    x = 430.95

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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.