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Finding the Fourth Proportional to 533.21, 735.23 and 434.66

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Solution

The fourth proportional to 533.21, 735.23 and 434.66 is: 599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.21 : 735.23 = 434.66 : x
  2. Step 2: Convert to fraction form
    533.21/735.23 = 434.66/x
  3. Step 3: Cross multiply
    533.21x = 735.23 × 434.66
  4. Step 4: Simplify right side
    533.21x = 319,572.90
  5. Step 5: Solve for x
    x = 319,572.90/533.21
  6. Step 6: Final answer
    x = 599.34

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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.