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Finding the Fourth Proportional to 533.40, 736.04 and 423.15

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Solution

The fourth proportional to 533.40, 736.04 and 423.15 is: 583.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.40 : 736.04 = 423.15 : x
  2. Step 2: Convert to fraction form
    533.40/736.04 = 423.15/x
  3. Step 3: Cross multiply
    533.40x = 736.04 × 423.15
  4. Step 4: Simplify right side
    533.40x = 311,453.21
  5. Step 5: Solve for x
    x = 311,453.21/533.40
  6. Step 6: Final answer
    x = 583.90

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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.