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Finding the Fourth Proportional to 335.40, 463.35 and 224.83

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Solution

The fourth proportional to 335.40, 463.35 and 224.83 is: 310.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.40 : 463.35 = 224.83 : x
  2. Step 2: Convert to fraction form
    335.40/463.35 = 224.83/x
  3. Step 3: Cross multiply
    335.40x = 463.35 × 224.83
  4. Step 4: Simplify right side
    335.40x = 104,174.98
  5. Step 5: Solve for x
    x = 104,174.98/335.40
  6. Step 6: Final answer
    x = 310.60

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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.