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Finding the Fourth Proportional to 533.12, 788.67 and 533.12

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Solution

The fourth proportional to 533.12, 788.67 and 533.12 is: 788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.12 : 788.67 = 533.12 : x
  2. Step 2: Convert to fraction form
    533.12/788.67 = 533.12/x
  3. Step 3: Cross multiply
    533.12x = 788.67 × 533.12
  4. Step 4: Simplify right side
    533.12x = 420,451.81
  5. Step 5: Solve for x
    x = 420,451.81/533.12
  6. Step 6: Final answer
    x = 788.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.