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Finding the Fourth Proportional to 349.40, 523.34 and 253

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Solution

The fourth proportional to 349.40, 523.34 and 253 is: 378.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.40 : 523.34 = 253 : x
  2. Step 2: Convert to fraction form
    349.40/523.34 = 253/x
  3. Step 3: Cross multiply
    349.40x = 523.34 × 253
  4. Step 4: Simplify right side
    349.40x = 132,405.02
  5. Step 5: Solve for x
    x = 132,405.02/349.40
  6. Step 6: Final answer
    x = 378.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.