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Finding the Fourth Proportional to 335.80, 463.19 and 211.35

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Solution

The fourth proportional to 335.80, 463.19 and 211.35 is: 291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.80 : 463.19 = 211.35 : x
  2. Step 2: Convert to fraction form
    335.80/463.19 = 211.35/x
  3. Step 3: Cross multiply
    335.80x = 463.19 × 211.35
  4. Step 4: Simplify right side
    335.80x = 97,894.15
  5. Step 5: Solve for x
    x = 97,894.15/335.80
  6. Step 6: Final answer
    x = 291.53

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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.