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Finding the Fourth Proportional to 533.06, 735.63 and 312.14

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Solution

The fourth proportional to 533.06, 735.63 and 312.14 is: 430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.06 : 735.63 = 312.14 : x
  2. Step 2: Convert to fraction form
    533.06/735.63 = 312.14/x
  3. Step 3: Cross multiply
    533.06x = 735.63 × 312.14
  4. Step 4: Simplify right side
    533.06x = 229,619.55
  5. Step 5: Solve for x
    x = 229,619.55/533.06
  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.