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Finding the Fourth Proportional to 335.24, 462.56 and 210.84

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Solution

The fourth proportional to 335.24, 462.56 and 210.84 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.24 : 462.56 = 210.84 : x
  2. Step 2: Convert to fraction form
    335.24/462.56 = 210.84/x
  3. Step 3: Cross multiply
    335.24x = 462.56 × 210.84
  4. Step 4: Simplify right side
    335.24x = 97,526.15
  5. Step 5: Solve for x
    x = 97,526.15/335.24
  6. Step 6: Final answer
    x = 290.91

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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.