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Finding the Fourth Proportional to 533.41, 734.64 and 459.70

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Solution

The fourth proportional to 533.41, 734.64 and 459.70 is: 633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.41 : 734.64 = 459.70 : x
  2. Step 2: Convert to fraction form
    533.41/734.64 = 459.70/x
  3. Step 3: Cross multiply
    533.41x = 734.64 × 459.70
  4. Step 4: Simplify right side
    533.41x = 337,711.71
  5. Step 5: Solve for x
    x = 337,711.71/533.41
  6. Step 6: Final answer
    x = 633.12

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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.