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Finding the Fourth Proportional to 533.84, 795.34 and 531.68

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Solution

The fourth proportional to 533.84, 795.34 and 531.68 is: 792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.84 : 795.34 = 531.68 : x
  2. Step 2: Convert to fraction form
    533.84/795.34 = 531.68/x
  3. Step 3: Cross multiply
    533.84x = 795.34 × 531.68
  4. Step 4: Simplify right side
    533.84x = 422,863.06
  5. Step 5: Solve for x
    x = 422,863.06/533.84
  6. Step 6: Final answer
    x = 792.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.