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Finding the Fourth Proportional to 533.23, 735.83 and 312.15

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Solution

The fourth proportional to 533.23, 735.83 and 312.15 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.23 : 735.83 = 312.15 : x
  2. Step 2: Convert to fraction form
    533.23/735.83 = 312.15/x
  3. Step 3: Cross multiply
    533.23x = 735.83 × 312.15
  4. Step 4: Simplify right side
    533.23x = 229,693.46
  5. Step 5: Solve for x
    x = 229,693.46/533.23
  6. Step 6: Final answer
    x = 430.76

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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.