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Finding the Fourth Proportional to 533.40, 735.81 and 312.21

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Solution

The fourth proportional to 533.40, 735.81 and 312.21 is: 430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.40 : 735.81 = 312.21 : x
  2. Step 2: Convert to fraction form
    533.40/735.81 = 312.21/x
  3. Step 3: Cross multiply
    533.40x = 735.81 × 312.21
  4. Step 4: Simplify right side
    533.40x = 229,727.24
  5. Step 5: Solve for x
    x = 229,727.24/533.40
  6. Step 6: Final answer
    x = 430.68

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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.