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Finding the Fourth Proportional to 533.24, 735.71 and 346.94

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Solution

The fourth proportional to 533.24, 735.71 and 346.94 is: 478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.24 : 735.71 = 346.94 : x
  2. Step 2: Convert to fraction form
    533.24/735.71 = 346.94/x
  3. Step 3: Cross multiply
    533.24x = 735.71 × 346.94
  4. Step 4: Simplify right side
    533.24x = 255,241.81
  5. Step 5: Solve for x
    x = 255,241.81/533.24
  6. Step 6: Final answer
    x = 478.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.