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Finding the Fourth Proportional to 533.20, 735.76 and 312.12

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Solution

The fourth proportional to 533.20, 735.76 and 312.12 is: 430.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.20 : 735.76 = 312.12 : x
  2. Step 2: Convert to fraction form
    533.20/735.76 = 312.12/x
  3. Step 3: Cross multiply
    533.20x = 735.76 × 312.12
  4. Step 4: Simplify right side
    533.20x = 229,645.41
  5. Step 5: Solve for x
    x = 229,645.41/533.20
  6. Step 6: Final answer
    x = 430.69

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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.