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Finding the Fourth Proportional to 335, 462.34 and 217.02

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Solution

The fourth proportional to 335, 462.34 and 217.02 is: 299.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    335 : 462.34 = 217.02 : x
  2. Step 2: Convert to fraction form
    335/462.34 = 217.02/x
  3. Step 3: Cross multiply
    335x = 462.34 × 217.02
  4. Step 4: Simplify right side
    335x = 100,337.03
  5. Step 5: Solve for x
    x = 100,337.03/335
  6. Step 6: Final answer
    x = 299.51

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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.