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Finding the Fourth Proportional to 533.14, 735.54 and 312.07

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Solution

The fourth proportional to 533.14, 735.54 and 312.07 is: 430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.14 : 735.54 = 312.07 : x
  2. Step 2: Convert to fraction form
    533.14/735.54 = 312.07/x
  3. Step 3: Cross multiply
    533.14x = 735.54 × 312.07
  4. Step 4: Simplify right side
    533.14x = 229,539.97
  5. Step 5: Solve for x
    x = 229,539.97/533.14
  6. Step 6: Final answer
    x = 430.54

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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.